Titlebook: Analysis without Borders; Dedicated to Ilya Sp Sergei Rogosin Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive li

epicardium

https://doi.org/10.1007/978-3-031-17902-0Let . be one of the following three Banach function spaces: a Lorentz space . with .; a reflexive Orlicz space .; or a variable Lebesgue space . with variable exponent .. We show that the Banach algebra ., generated by the Wiener-Hopf operators with continuous symbols acting on ., contains the ideal of compact operators ..

aspect

Naoki Takahashi,Yuri Hamada,Hiroko ShojiThe paper is devoted to the factorization of . matrix-functions with partly rational entries and to the calculation of their partial indices. The proposed method is applied to the study of solvability of .-linear conjugation problem with a rational second coefficient.

山羊

Ilya Spitkovsky 70,This paper describes some details of the career and the scientific achievements of Professor Ilya Spitkovsky.

minion

,Ilya Spitkovsky’s Pioneering Work on Massive Local Spectra of Toeplitz Operators,This is an expository paper describing a few selected topics of Ilya Spitkovsky’s work. We focus the attention on his pioneering contributions to the detection and identification of massive local spectra of Toeplitz operators caused by jumps of the symbols and embark on the subsequent development of the story.

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The Reciprocal Schur Inequality,Schur’s inequality states that the sum of three special terms is always nonnegative. This note is a short review of inequalities for the sum of the reciprocals of these terms and of extensions of the latter inequalities to an arbitrary number of terms and thus to higher-order divided differences.

宴會

fibroblast

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輪流

On the Algebras of Wiener-Hopf Operators with Continuous Symbols Acting on Some Banach Function SpaLet . be one of the following three Banach function spaces: a Lorentz space . with .; a reflexive Orlicz space .; or a variable Lebesgue space . with variable exponent .. We show that the Banach algebra ., generated by the Wiener-Hopf operators with continuous symbols acting on ., contains the ideal of compact operators ..

過度

Factorization of Partly Rational Matrix-Functions and Its Application to the Solution of R-linear CThe paper is devoted to the factorization of . matrix-functions with partly rational entries and to the calculation of their partial indices. The proposed method is applied to the study of solvability of .-linear conjugation problem with a rational second coefficient.