Name: Questions About Extreme Points
Creator: Konstantin M. Dyakonov
Keywords: Hardy spaces, Mathematics - Complex Variables, Funcions de variables complexes, Espais de Hardy, Anàlisi harmònica, 01 natural sciences, Functions of complex variables, Functional Analysis (math.FA), Harmonic analysis, Mathematics - Functional Analysis

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 02 May 2023Embargo end date: 01 Jan 2022 English Publisher:Springer Science and Business Media LLCJournal:Integral Equations and Operator Theory, volume 95 (issn: 0378-620X, eissn: 1420-8989,

Authors: Konstantin M. Dyakonov;

doi: 10.1007/s00020-023-02733-8 , 10.48550/arxiv.2211.00853

arXiv: http://arxiv.org/abs/2211.00853

handle: 2445/217653

Questions About Extreme Points

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Abstract

AbstractWe discuss the geometry of the unit ball—specifically, the structure of its extreme points (if any)—in subspaces of$$L^1$$L1and$$L^\infty $$L∞on the circle that are formed by functions with prescribed spectral gaps. A similar issue is considered for kernels of Toeplitz operators in$$H^\infty $$H∞.

Related Organizations

University of Barcelona
Spain

Keywords

Hardy spaces, Mathematics - Complex Variables, Funcions de variables complexes, Espais de Hardy, Anàlisi harmònica, Functions of complex variables, Functional Analysis (math.FA), Harmonic analysis, Mathematics - Functional Analysis, 30H05, 30H10, 42A32, 46A55, 47B35, Funcions analítiques, Mathematics - Classical Analysis and ODEs, Analytic functions, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV)

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