Surjective isometries on Banach sequence spaces: A survey-Reference-Cited by-同舟云学术

Surjective isometries on Banach sequence spaces: A survey

Published:2022-01-01 Issue:1 Volume:9 Page:19-40
ISSN:2299-3282
Container-title:Concrete Operators
language:en
Short-container-title:

Author:

Antunes Leandro¹,Beanland Kevin²

Affiliation:

1. Departamento de Matemática , Universidade Tecnológica Federal do Paraná , Campus Toledo, 85902-490 Toledo, PR Brazil

2. Department of Mathematics , Washington and Lee University , Lexington , VA 24450

Abstract

Abstract In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial Banach spaces and Tsirelson-type spaces. Along the way, we pose many open problems related to the structure of the group of surjective isometries for various Banach spaces.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/conop-2022-0125/pdf

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