{"title":"S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities","authors":"Alexander Sakhnovich","doi":"10.1007/s11785-024-01567-5","DOIUrl":null,"url":null,"abstract":"<p>Using factorisation and Arov–Krein inequality results, we derive important inequalities (in terms of <i>S</i>-nodes) in interpolation problems.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"22 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Analysis and Operator Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11785-024-01567-5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Using factorisation and Arov–Krein inequality results, we derive important inequalities (in terms of S-nodes) in interpolation problems.
期刊介绍:
Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.