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Effectivity of Semi-positive Line Bundles 半正线束的有效性
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-06-11 DOI: 10.1007/s00032-022-00356-z
F. Anella, D. Huybrechts
{"title":"Effectivity of Semi-positive Line Bundles","authors":"F. Anella, D. Huybrechts","doi":"10.1007/s00032-022-00356-z","DOIUrl":"https://doi.org/10.1007/s00032-022-00356-z","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42701042","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Cauchy–de Branges Spaces, Geometry of Their Reproducing Kernels and Multiplication Operators 柯西-德-布朗日空间及其再现核的几何和乘法算子
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-06-05 DOI: 10.1007/s00032-023-00378-1
A. Baranov
{"title":"Cauchy–de Branges Spaces, Geometry of Their Reproducing Kernels and Multiplication Operators","authors":"A. Baranov","doi":"10.1007/s00032-023-00378-1","DOIUrl":"https://doi.org/10.1007/s00032-023-00378-1","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44055025","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Decoherence-Free Subalgebra of Gaussian Quantum Markov Semigroups 高斯量子马尔可夫半群的无退相干子代数
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-06-03 DOI: 10.1007/s00032-022-00355-0
Julián Agredo, Franco Fagnola, Damiano Poletti
{"title":"The Decoherence-Free Subalgebra of Gaussian Quantum Markov Semigroups","authors":"Julián Agredo, Franco Fagnola, Damiano Poletti","doi":"10.1007/s00032-022-00355-0","DOIUrl":"https://doi.org/10.1007/s00032-022-00355-0","url":null,"abstract":"<p>We demonstrate a method for finding the decoherence-free subalgebra <span>({mathcal {N}}({mathcal {T}}))</span> of a Gaussian quantum Markov semigroup on the von Neumann algebra <span>({mathcal {B}}(Gamma (mathbb {C}^d)))</span> of all bounded operator on the Fock space <span>(Gamma (mathbb {C}^d))</span> on <span>(mathbb {C}^d)</span>. We show that <span>({mathcal {N}}({mathcal {T}}))</span> is a type I von Neumann algebra <span>(L^infty (mathbb {R}^{d_c};mathbb {C}){overline{otimes }}{mathcal {B}}(Gamma (mathbb {C}^{d_f})))</span> determined, up to unitary equivalence, by two natural numbers <span>(d_c,d_fle d)</span>. This result is illustrated by some applications and examples.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495282","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 4
Transfer of Energy from Flexural to Torsional Modes for the Fish-Bone Suspension Bridge Model 鱼骨悬索桥模型的弯扭能量传递
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-05-25 DOI: 10.1007/s00032-022-00373-y
C. Marchionna, S. Panizzi
{"title":"Transfer of Energy from Flexural to Torsional Modes for the Fish-Bone Suspension Bridge Model","authors":"C. Marchionna, S. Panizzi","doi":"10.1007/s00032-022-00373-y","DOIUrl":"https://doi.org/10.1007/s00032-022-00373-y","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41986655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A Characterization of the Vector Lattice of Measurable Functions 可测函数的向量格的表征
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-05-21 DOI: 10.1007/s00032-022-00351-4
Simone Cerreia-Vioglio, Paolo Leonetti, Fabio Maccheroni
{"title":"A Characterization of the Vector Lattice of Measurable Functions","authors":"Simone Cerreia-Vioglio, Paolo Leonetti, Fabio Maccheroni","doi":"10.1007/s00032-022-00351-4","DOIUrl":"https://doi.org/10.1007/s00032-022-00351-4","url":null,"abstract":"<p>Given a probability measure space <span>((X,Sigma ,mu ))</span>, it is well known that the Riesz space <span>(L^0(mu ))</span> of equivalence classes of measurable functions <span>(f: X rightarrow mathbf {R})</span> is universally complete and the constant function <span>(varvec{1})</span> is a weak order unit. Moreover, the linear functional <span>(L^infty (mu )rightarrow mathbf {R})</span> defined by <span>(f mapsto int f,mathrm {d}mu )</span> is strictly positive and order continuous. Here we show, in particular, that the converse holds true, i.e., any universally complete Riesz space <i>E</i> with a weak order unit <span>(e&gt;0)</span> which admits a strictly positive order continuous linear functional on the principal ideal generated by <i>e</i> is lattice isomorphic onto <span>(L^0(mu ))</span>, for some probability measure space <span>((X,Sigma ,mu ))</span>.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Positive Solutions for Slightly Subcritical Elliptic Problems Via Orlicz Spaces 略次临界椭圆问题的Orlicz空间正解
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-04-25 DOI: 10.1007/s00032-022-00354-1
M. Cuesta, R. Pardo
{"title":"Positive Solutions for Slightly Subcritical Elliptic Problems Via Orlicz Spaces","authors":"M. Cuesta, R. Pardo","doi":"10.1007/s00032-022-00354-1","DOIUrl":"https://doi.org/10.1007/s00032-022-00354-1","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45465386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 6
Positive Solutions of Quasilinear Elliptic Equations with Fuchsian Potentials in Wolff Class Wolff类中具有Fuchsian势的拟线性椭圆型方程的正解
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-04-17 DOI: 10.1007/s00032-023-00377-2
R. K. Giri, Y. Pinchover
{"title":"Positive Solutions of Quasilinear Elliptic Equations with Fuchsian Potentials in Wolff Class","authors":"R. K. Giri, Y. Pinchover","doi":"10.1007/s00032-023-00377-2","DOIUrl":"https://doi.org/10.1007/s00032-023-00377-2","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46145140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
One-Dimensional Fokker–Planck Equations and Functional Inequalities for Heavy Tailed Densities 重尾密度的一维Fokker-Planck方程和泛函不等式
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-03-28 DOI: 10.1007/s00032-022-00352-3
Giulia Furioli, Ada Pulvirenti, Elide Terraneo, Giuseppe Toscani
{"title":"One-Dimensional Fokker–Planck Equations and Functional Inequalities for Heavy Tailed Densities","authors":"Giulia Furioli, Ada Pulvirenti, Elide Terraneo, Giuseppe Toscani","doi":"10.1007/s00032-022-00352-3","DOIUrl":"https://doi.org/10.1007/s00032-022-00352-3","url":null,"abstract":"<p>We present and discuss connections between the problem of trend to equilibrium for one-dimensional Fokker–Planck equations modeling socio-economic problems, and one-dimensional functional inequalities of the type of Poincaré, Wirtinger and logarithmic Sobolev, with weight, for probability densities with polynomial tails. As main examples, we consider inequalities satisfied by inverse Gamma densities, taking values on <span>(mathbb R_+)</span>, and Cauchy-type densities, taking values on <span>(mathbb R)</span>.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 1
Time-Space Fractional Diffusion Problems: Existence, Decay Estimates and Blow-Up of Solutions 时空分数扩散问题:解的存在性、衰减估计和爆破
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-03-22 DOI: 10.1007/s00032-021-00348-5
Ruixin Shen, Mingqi Xiang, V. Rǎdulescu
{"title":"Time-Space Fractional Diffusion Problems: Existence, Decay Estimates and Blow-Up of Solutions","authors":"Ruixin Shen, Mingqi Xiang, V. Rǎdulescu","doi":"10.1007/s00032-021-00348-5","DOIUrl":"https://doi.org/10.1007/s00032-021-00348-5","url":null,"abstract":"","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46986783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 6
On a Solution of the Multidimensional Truncated Matrix-Valued Moment Problem 多维截断矩阵值矩问题的一种解
IF 1.7 3区 数学
Milan Journal of Mathematics Pub Date : 2022-03-19 DOI: 10.1007/s00032-021-00346-7
David P. Kimsey, Matina Trachana
{"title":"On a Solution of the Multidimensional Truncated Matrix-Valued Moment Problem","authors":"David P. Kimsey, Matina Trachana","doi":"10.1007/s00032-021-00346-7","DOIUrl":"https://doi.org/10.1007/s00032-021-00346-7","url":null,"abstract":"<p>We will consider the multidimensional truncated <span>(p times p)</span> Hermitian matrix-valued moment problem. We will prove a characterisation of truncated <span>(p times p)</span> Hermitian matrix-valued multisequence with a minimal positive semidefinite matrix-valued representing measure via the existence of a flat extension, i.e., a rank preserving extension of a multivariate Hankel matrix (built from the given truncated matrix-valued multisequence). Moreover, the support of the representing measure can be computed via the intersecting zeros of the determinants of matrix-valued polynomials which describe the flat extension. We will also use a matricial generalisation of Tchakaloff’s theorem due to the first author together with the above result to prove a characterisation of truncated matrix-valued multisequences which have a representing measure. When <span>(p = 1)</span>, our result recovers the celebrated flat extension theorem of Curto and Fialkow. The bivariate quadratic matrix-valued problem and the bivariate cubic matrix-valued problem are explored in detail.</p>","PeriodicalId":49811,"journal":{"name":"Milan Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.7,"publicationDate":"2022-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 6
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