{"title":"Solving Continuous Time Leech Problems for Rational Operator Functions","authors":"A. Frazho, M. A. Kaashoek, F. van Schagen","doi":"10.1007/s00020-022-02710-7","DOIUrl":"https://doi.org/10.1007/s00020-022-02710-7","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45919503","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}
{"title":"Essential m-dissipativity for Possibly Degenerate Generators of Infinite-dimensional Diffusion Processes","authors":"Benedikt Eisenhuth, M. Grothaus","doi":"10.1007/s00020-022-02707-2","DOIUrl":"https://doi.org/10.1007/s00020-022-02707-2","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48200965","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}
{"title":"On Certain Order Properties of Non Kubo–Ando Means in Operator Algebras","authors":"L. Molnár","doi":"10.1007/s00020-022-02702-7","DOIUrl":"https://doi.org/10.1007/s00020-022-02702-7","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46077526","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}
{"title":"Subinner-Free Outer Factorizations on an Annulus","authors":"Georgios Tsikalas","doi":"10.1007/s00020-022-02720-5","DOIUrl":"https://doi.org/10.1007/s00020-022-02720-5","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41996249","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}
{"title":"Integral Operators on Fock–Sobolev Spaces via Multipliers on Gauss–Sobolev Spaces","authors":"B. Wick, Shengkun Wu","doi":"10.1007/s00020-022-02701-8","DOIUrl":"https://doi.org/10.1007/s00020-022-02701-8","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"94 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52032658","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}
{"title":"Green’s Functions for First-Order Systems of Ordinary Differential Equations without the Unique Continuation Property","authors":"Steven Redolfi, R. Weikard","doi":"10.1007/s00020-022-02703-6","DOIUrl":"https://doi.org/10.1007/s00020-022-02703-6","url":null,"abstract":"","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"94 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52032671","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}
{"title":"The Agler Reducing Subspace for the Operator-Valued Inner Function Over the Bidisk","authors":"Senhua Zhu, Yufeng Lu, Yixin Yang","doi":"10.1007/s00020-022-02696-2","DOIUrl":"https://doi.org/10.1007/s00020-022-02696-2","url":null,"abstract":"<p>In this paper, we study the Agler reducing subspace for the compressed shift on the Beurling type quotient module <span>(mathcal {K}_{Theta })</span> over the bidisk, where <span>(Theta )</span> is an operator-valued inner function. Firstly, we characterized the Agler reducing subspace when <span>(Theta )</span> is an one variable operator-valued inner function, which is quite different with the scalar setting. Secondly, we show that the compressed shift has nontrivial Agler reducing subspaces if and only if <span>(Theta )</span> is the product of two one variable inner fucntions(though now the order of the factors plays a role). The uniqueness of the Agler reducing subspace is also studied.</p>","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"368 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516117","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}
Javad Mashreghi, Pierre-Olivier Parisé, Thomas Ransford
{"title":"Power-Series Summability Methods in de Branges–Rovnyak Spaces","authors":"Javad Mashreghi, Pierre-Olivier Parisé, Thomas Ransford","doi":"10.1007/s00020-022-02698-0","DOIUrl":"https://doi.org/10.1007/s00020-022-02698-0","url":null,"abstract":"<p>We show that there exists a de Branges–Rovnyak space <span>({mathcal {H}}(b))</span> on the unit disk containing a function <i>f</i> with the following property: even though <i>f</i> can be approximated by polynomials in <span>({mathcal {H}}(b))</span>, neither the Taylor partial sums of <i>f</i> nor their Cesàro, Abel, Borel or logarithmic means converge to <i>f</i> in <span>({mathcal {H}}(b))</span>. A key tool is a new abstract result showing that, if one regular summability method includes another for scalar sequences, then it automatically does so for certain Banach-space-valued sequences too.</p>","PeriodicalId":13658,"journal":{"name":"Integral Equations and Operator Theory","volume":"14 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516111","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}