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Bulletin of The Iranian Mathematical Society最新文献

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Identification of Quantum Injective Dual Frames on $$mathbb {R}^n$$ $$mathbb {R}^n$$ 上量子注入式双框架的识别
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-06-04 DOI: 10.1007/s41980-024-00886-9
Atefe Razghandi, Elahe Agheshteh Moghaddam, Ali Akbar Arefijamaal
{"title":"Identification of Quantum Injective Dual Frames on $$mathbb {R}^n$$","authors":"Atefe Razghandi, Elahe Agheshteh Moghaddam, Ali Akbar Arefijamaal","doi":"10.1007/s41980-024-00886-9","DOIUrl":"https://doi.org/10.1007/s41980-024-00886-9","url":null,"abstract":"<p>The quantum injectivity problem classifies frames which are injective with respect to self-adjoint Hilbert-Schmidt operators. In this paper, we aim to analyze quantum injective frames in terms of the excess of frame elements in <span>(mathbb {R}^n)</span>. Especially, we investigate the connection between the injectivity, full spark and phase retrieval frames. In addition, we detect injective (alternate) dual frames and show that the family of quantum injective dual frames is open and dense in the set of all dual frames. Finally, the stability of quantum injective frames will be addressed.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Second Main Theorems of Jackson Difference Operator for Holomorphic Curves with Slowly Moving Targets 慢动作目标全形曲线的杰克逊差分算子第二主定理
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-06-04 DOI: 10.1007/s41980-024-00891-y
Yuehuan Zhu
{"title":"Second Main Theorems of Jackson Difference Operator for Holomorphic Curves with Slowly Moving Targets","authors":"Yuehuan Zhu","doi":"10.1007/s41980-024-00891-y","DOIUrl":"https://doi.org/10.1007/s41980-024-00891-y","url":null,"abstract":"<p>In this paper, we investigate some new truncated second main theorems by using the Jackson <span>( p )</span>-Casorati determinant, where the truncated counting functions are assigned varying weights. We specifically concentrate on the Jackson difference operator applied to zero-order holomorphic mappings intersecting a finite set of slowly moving targets in <span>( mathbb {P}^n(mathbb {C}) )</span>. As an application, we prove a uniqueness theorem of meromorphic functions sharing some small functions with the Jackson-type counting functions.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141255461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strong Weighted GDMP Inverse for Operators 运算符的强加权 GDMP 逆运算
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-05-28 DOI: 10.1007/s41980-024-00894-9
Dijana Mosić, Predrag S. Stanimirović
{"title":"Strong Weighted GDMP Inverse for Operators","authors":"Dijana Mosić, Predrag S. Stanimirović","doi":"10.1007/s41980-024-00894-9","DOIUrl":"https://doi.org/10.1007/s41980-024-00894-9","url":null,"abstract":"<p>Various extensions of DMP-inverses have been proposed recently. Expressions involving G-Drazin inverses and the Moore–Penrose are known as GDMP-inverses. To generalize the definition of the GDMP inverse for square matrices, we firstly present and study the strong weighted G-Drazin inverse for bounded linear operators between two Hilbert spaces. We introduce the strong weighted GDMP inverse and its dual for operators by employing the strong weighted G-Drazin inverse and the Moore-Penrose inverse. Different properties, characterizations and representations for two new inverses are proved. Applying the strong weighted GDMP inverse, we define the strong weighted GDMP partial order.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Absolute Monotonicity of the Logarithmic of Gaussian Hypergeometric Function 论高斯超几何函数对数的绝对单调性
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-05-11 DOI: 10.1007/s41980-024-00889-6
Jiahui Wu, Tiehong Zhao
{"title":"On the Absolute Monotonicity of the Logarithmic of Gaussian Hypergeometric Function","authors":"Jiahui Wu, Tiehong Zhao","doi":"10.1007/s41980-024-00889-6","DOIUrl":"https://doi.org/10.1007/s41980-024-00889-6","url":null,"abstract":"<p>It has been shown in Yang and Tian (Acta Math Sci 42B(3):847–864, 2022) that the function <span>(xmapsto -frac{d}{dx}log {big [(1-x)^p{{,mathrm{{mathcal {K}}},}}(sqrt{x})big ]})</span> is absolutely monotonic on (0, 1) if and only if <span>(pge 1/4)</span>, where <span>({{,mathrm{{mathcal {K}}},}}(r))</span> is the complete elliptic integral of the first kind defined on (0, 1). This result, in this paper, will be extended to the Gaussian hypergeometric function, more precisely, the absolutely monotonic properties of <span>(xmapsto log {big [(1-x)^s{_2F_1}(a,b;c;x)big ]})</span> will be studied. As applications, several inequalities involving the ratio of Gaussian hypergeometric function and the generalized Grötzch ring function are established.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140935891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Monoidal Hom–Hopf Algebra Arising From Partial Hom-Actions 部分同作用产生的单复数 Hom-Hopf 代数
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-05-07 DOI: 10.1007/s41980-024-00873-0
Ling Jia
{"title":"The Monoidal Hom–Hopf Algebra Arising From Partial Hom-Actions","authors":"Ling Jia","doi":"10.1007/s41980-024-00873-0","DOIUrl":"https://doi.org/10.1007/s41980-024-00873-0","url":null,"abstract":"<p>In this paper, we mainly focus on how to use Hom-partial actions to construct a new monoidal Hom–Hopf algebra. For this, we first introduce the notions of partial Hom–Smash products and partial Hom–Smash coproducts. Then, partial matched Hom-pairs are established to construct monoidal Hom–Hopf algebras, as application, some concrete examples are elaborated.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140935721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Iterative Methods for Sparse Symmetric Multilinear Systems 稀疏对称多线性系统的迭代法
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-05-07 DOI: 10.1007/s41980-024-00875-y
Eisa Khosravi Dehdezi
{"title":"Iterative Methods for Sparse Symmetric Multilinear Systems","authors":"Eisa Khosravi Dehdezi","doi":"10.1007/s41980-024-00875-y","DOIUrl":"https://doi.org/10.1007/s41980-024-00875-y","url":null,"abstract":"<p>In this research, we extend three attractive iterative methods—conjugate gradient, conjugate residual, and minimal residual—to solve large sparse symmetric multilinear system <span>(mathcal {A}textbf{x}^{m-1}=textbf{b})</span>. We prove that the developed iterative methods converge under some appropriate conditions. As an application, we applied the proposed methods for solving the Klein–Gordon equation with Dirichlet boundary condition. Also, comparing these iterative methods to some new preconditioned splitting methods shows that, applying new methods for solving symmetric tensor equation <span>(mathcal {A}textbf{x}^{m-1}=textbf{b})</span>, in which the coefficient tensor is an <span>(mathcal {M})</span>-tensor, are more efficient. Numerical results demonstrate that our methods are feasible and effective for solving this type of tensor equations. Finally, some concluding remarks are given.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140935725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Common Divisor Graph of the Product of Integer Multisets 论整数多集之积的公分子图
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-05-06 DOI: 10.1007/s41980-024-00881-0
Antonio Beltrán, Mohammad Ali Hosseinzadeh, Samaneh Hossein-Zadeh, Ali Iranmanesh
{"title":"On the Common Divisor Graph of the Product of Integer Multisets","authors":"Antonio Beltrán, Mohammad Ali Hosseinzadeh, Samaneh Hossein-Zadeh, Ali Iranmanesh","doi":"10.1007/s41980-024-00881-0","DOIUrl":"https://doi.org/10.1007/s41980-024-00881-0","url":null,"abstract":"<p>The common divisor graph, <span>(Gamma (X))</span>, is a graph that has been defined on a set of positive integers <i>X</i>. Some properties of this graph have been studied in the cases when either <i>X</i> is the set of character degrees or the set of conjugacy class sizes of a group. This paper deals with several properties of a particular case of the common divisor graph, <span>(Gamma (Z))</span>, when <i>Z</i> is a multiset of positive integers that admits a decomposition <span>(Z=XY)</span>, where <span>(XY={ xy | xin X, yin Y })</span> and <span>(1in X)</span> and <span>(1 in Y)</span>. Our results can be applied for the graphs associated to character degrees and conjugacy classes of the direct product of two finite groups.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140883255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Triviality of Gorenstein $$(mathcal {L}, mathcal {A})$$ -Modules 论戈伦斯坦 $$(mathcal {L}, mathcal {A})$$ - 模块的琐碎性
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-26 DOI: 10.1007/s41980-024-00871-2
Xinxin Wang
{"title":"On the Triviality of Gorenstein $$(mathcal {L}, mathcal {A})$$ -Modules","authors":"Xinxin Wang","doi":"10.1007/s41980-024-00871-2","DOIUrl":"https://doi.org/10.1007/s41980-024-00871-2","url":null,"abstract":"<p>Let <span>((mathcal {L}, mathcal {A}))</span> be a bi-complete duality pair. We consider when the relative Gorenstein modules with respect to such a duality pair coincide with the classical homological modules. As applications, we characterize (weak) global dimension via such a duality pair, characterize strongly CM-freeness of flat-typed <span>((mathcal {L}, mathcal {A}))</span>-Gorenstein rings and obtain the compactly-generatedness of some relative derived categories. Applying the results into frequent duality pairs, our results unify the corresponding results for Gorenstein AC-modules and Ding modules.\u0000</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140798820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Results for a von Kármán Equation with Variable Exponent Modeling Suspension Bridges 以悬索桥为模型的可变指数 von Kármán 方程的一些结果
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-25 DOI: 10.1007/s41980-024-00870-3
Yongda Wang, Jian Zhang
{"title":"Some Results for a von Kármán Equation with Variable Exponent Modeling Suspension Bridges","authors":"Yongda Wang, Jian Zhang","doi":"10.1007/s41980-024-00870-3","DOIUrl":"https://doi.org/10.1007/s41980-024-00870-3","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140656999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximation Properties of Exponential Sampling Series in Logarithmic Weighted Spaces 对数加权空间中指数抽样序列的逼近特性
IF 0.7 4区 数学
Bulletin of The Iranian Mathematical Society Pub Date : 2024-04-23 DOI: 10.1007/s41980-024-00868-x
T. Acar, Sadettin Kursun, Özlem Acar
{"title":"Approximation Properties of Exponential Sampling Series in Logarithmic Weighted Spaces","authors":"T. Acar, Sadettin Kursun, Özlem Acar","doi":"10.1007/s41980-024-00868-x","DOIUrl":"https://doi.org/10.1007/s41980-024-00868-x","url":null,"abstract":"","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140669232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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