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Some studies of SEP elements in a ring with involution 对合环中SEP元素的一些研究
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2306815z
Shiyin Zhao, Dandan Zhao, Junchao Wei
{"title":"Some studies of SEP elements in a ring with involution","authors":"Shiyin Zhao, Dandan Zhao, Junchao Wei","doi":"10.2298/fil2306815z","DOIUrl":"https://doi.org/10.2298/fil2306815z","url":null,"abstract":"In this paper, we give some new characterizations of SEP elements and partial isometries in rings with involution. Especially, we discuss these characterizations from the perspectives of the existence of solutions to certain equations, and the form of the general solutions to some equations.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271064","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 properties of extended eigenvalues for operators pair 算子对扩展特征值的若干性质
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2306927a
A. Ammar, Chaimaa Bouchama, A. Jeribi
{"title":"Some properties of extended eigenvalues for operators pair","authors":"A. Ammar, Chaimaa Bouchama, A. Jeribi","doi":"10.2298/fil2306927a","DOIUrl":"https://doi.org/10.2298/fil2306927a","url":null,"abstract":"In this paper, we determine some properties of extended eigenvalues for operators pair. Furthermore, the relationship between this kind of operators pair and the operators pencils in Hilbert space is established.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271272","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 Roman domination problem of some Johnson graphs Johnson图的罗马支配问题
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2307067z
Tatjana Zec
{"title":"On the Roman domination problem of some Johnson graphs","authors":"Tatjana Zec","doi":"10.2298/fil2307067z","DOIUrl":"https://doi.org/10.2298/fil2307067z","url":null,"abstract":"A Roman domination function (RDF) on a graph G with a set of vertices V = V(G) is a function f : V ? {0, 1, 2} which satisfies the condition that each vertex v ? V such that f (v) = 0 is adjacent to at least one vertex u such that f (u) = 2. The minimum weight value of an RDF on graph G is called the Roman domination number (RDN) of G and it is denoted by ?R(G). An RDF for which ?R(G) is achieved is called a ?R(G)-function. This paper considers Roman domination problem for Johnson graphs Jn,2 and Jn,3. For Jn,2, n ? 4 it is proved that ?R(Jn,2) = n ? 1. New lower and upper bounds for Jn,3, n ? 6 are derived using results on the minimal coverings of pairs by triples. These bounds quadratically depend on dimension n.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271302","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 a class of unitary operators on weighted Bergman spaces 加权Bergman空间上的一类酉算子
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2307013d
N. Das, Swarupa Roy
{"title":"On a class of unitary operators on weighted Bergman spaces","authors":"N. Das, Swarupa Roy","doi":"10.2298/fil2307013d","DOIUrl":"https://doi.org/10.2298/fil2307013d","url":null,"abstract":"In this paper we consider a class of weighted composition operators defined on the weighted Bergman spaces L2a (dA?) where D is the open unit disk in C and dA?(z) = (? + 1)(1 ? |z|2)?dA(z), ? > ?1 and dA(z) is the area measure on D. These operators are also self-adjoint and unitary. We establish here that a bounded linear operator S from L2a (dA?) into itself commutes with all the composition operators C(?) a , a ? D, if and only if B?S satisfies certain averaging condition. Here B?S denotes the generalized Berezin transform of the bounded linear operator S from L2a (dA?) into itself, C(?) a f = ( f ??a), f ? L2a (dA?) and ? ? Aut(D). Applications of the result are also discussed. Further, we have shown that ifMis a subspace of L?(D) and if for ? ? M, the Toeplitz operator T(?) ? represents a multiplication operator on a closed subspace S ? L2a (dA?), then ? is bounded analytic on D. Similarly if q ? L?(D) and Bn is a finite Blaschke product and M(?) q ( Range C(?) Bn) ? L2a (dA?), then q ? H?(D). Further, we have shown that if ? ? Aut(D), then N = {q ? L2a (dA?) : M(?) q (Range C(?)?) ? L2a (dA?)} = H?(D) if and only if ? is a finite Blaschke product. Here M(?)?, T(?)? , C(?)? denote the multiplication operator, the Toeplitz operator and the composition operator defined on L2a (dA?) with symbol ? respectively.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271506","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
Generalized fractional integrals in the vanishing generalized weighted local and global Morrey spaces 消失广义加权局部和全局Morrey空间中的广义分数阶积分
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2306893k
A. Kucukaslan
{"title":"Generalized fractional integrals in the vanishing generalized weighted local and global Morrey spaces","authors":"A. Kucukaslan","doi":"10.2298/fil2306893k","DOIUrl":"https://doi.org/10.2298/fil2306893k","url":null,"abstract":"In this paper, we prove the boundedness of generalized fractional integral operators I? in the vanishing generalized weighted Morrey-type spaces, such as vanishing generalized weighted local Morrey spaces and vanishing generalized weighted global Morrey spaces by using weighted Lp estimates over balls. In more detail, we obtain the Spanne-type boundedness of the generalized fractional integral operators I? in the vanishing generalized weighted local Morrey spaces with wq ? A1+ q/p' for 1 < p < q < ?, and from the vanishing generalized weighted local Morrey spaces to the vanishing generalized weighted weak local Morrey spaces with w A1,q for p = 1, 1 < q < ?. We also prove the Adams-type boundedness of the generalized fractional integral operators I? in the vanishing generalized weighted global Morrey spaces with w Ap,q for 1 < p < q < ? and from the vanishing generalized weighted global Morrey spaces to the vanishing generalized weighted weak global Morrey spaces with w A1,q for p = 1, 1 < q < ?. The our all weight functions belong to Muckenhoupt-Weeden classes Ap,q.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271651","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
Spectral properties of the finite system of Klein-Gordon S-wave equations with general boundary condition 具有一般边界条件的Klein-Gordon s波方程有限系统的谱性质
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2306907a
E. Arpat, N. Yokuş, N. Coskun
{"title":"Spectral properties of the finite system of Klein-Gordon S-wave equations with general boundary condition","authors":"E. Arpat, N. Yokuş, N. Coskun","doi":"10.2298/fil2306907a","DOIUrl":"https://doi.org/10.2298/fil2306907a","url":null,"abstract":"The spectral characteristics of the operator L is studied where L is defined within the Hilbert space L2(R+, CV) given by a finite system of Klein-Gordon type differential equations and boundary condition at general form. The research of the Klein-Gordon type operator continues to be an important topic for researchers due to the range of applicability of them in numerous branches of mathematics and quantum physics. Contrary to the previous works, we take the potential as complex valued and generalize the problem to the matrix Klein-Gordon operator case. The spectrum is derived by determining the Jost function and resolvent operator of the prescribed operator. Further, we provide the conditions that must be met for the certain quantitative properties of the spectrum.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271657","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 continuity of the solution to the Minkowski problem for Lp torsional measure Lp扭转测度Minkowski问题解的连续性
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2308387l
Ni Li, Shuang Mou
{"title":"On the continuity of the solution to the Minkowski problem for Lp torsional measure","authors":"Ni Li, Shuang Mou","doi":"10.2298/fil2308387l","DOIUrl":"https://doi.org/10.2298/fil2308387l","url":null,"abstract":"This paper deals with on the continuity of the solution to the Minkowski problem for Lp torsional measure. For p ? (1, n + 2) ? (n + 2,?), we show that a sequence of convex bodies in Rn is convergent in Hausdorff metric if the sequence of the Lp torsional measures (associated with these convex bodies) is weakly convergent. Moreover, we also prove that the solution to the Minkowski problem for Lp torsional measure is continuous with respect to p.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68272745","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 approximately biprojective and approximately biflat Banach algebras 关于近似双投影和近似双平面Banach代数
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2308295s
A. Sahami, A. Bodaghi
{"title":"On approximately biprojective and approximately biflat Banach algebras","authors":"A. Sahami, A. Bodaghi","doi":"10.2298/fil2308295s","DOIUrl":"https://doi.org/10.2298/fil2308295s","url":null,"abstract":"In this paper, we study the approximate biprojectivity and the approximate biflatness of a Banach algebra A and find some relations between theses concepts with ?-amenability and ? -contractibility, where ? is a character on A. Among other things, we show that ?-Lau product algebra L1(G) ?? A(G) is approximately biprojective if and only if G is finite, where L1(G) and A(G) are the group algebra and the Fourier algebra of a locally compact group G, respectively. We also characterize approximately biprojective and approximately biflat semigroup algebras associated with the inverse semigroups.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68272822","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
Orlicz-Lacunary bicomplex sequence spaces of difference operators 差分算子的orlicz - lacary双复序列空间
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2308421r
K. Raj, A. Esi, C. Sharma
{"title":"Orlicz-Lacunary bicomplex sequence spaces of difference operators","authors":"K. Raj, A. Esi, C. Sharma","doi":"10.2298/fil2308421r","DOIUrl":"https://doi.org/10.2298/fil2308421r","url":null,"abstract":"In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to study some algebraic and topological properties of these sequence spaces. We also show that these spaces are complete paranormed spaces. Further, some inclusion relations between these spaces and some interesting examples are established. Finally, we prove some results on modified complex Banach Algebra in the third section of the paper.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68272916","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
Further inequalities related to synchronous and asynchronous functions 更多与同步和异步函数相关的不等式
IF 0.8 4区 数学
Filomat Pub Date : 2023-01-01 DOI: 10.2298/fil2308599g
Mahdi Ghasvareh, M. Omidvar
{"title":"Further inequalities related to synchronous and asynchronous functions","authors":"Mahdi Ghasvareh, M. Omidvar","doi":"10.2298/fil2308599g","DOIUrl":"https://doi.org/10.2298/fil2308599g","url":null,"abstract":"This paper intends to show some operator and norm inequalities involving synchronous and asynchronous functions. Among other inequalities, it is shown that if A, B ? B(H) are two positive operators and f,g: J ? R are asynchronous functions, then f(A)g(A) + f(B)g(B) ? 1/2(f2(A)+12 (A) + f2(B)+g2(B)).","PeriodicalId":12305,"journal":{"name":"Filomat","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68275312","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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