Similarities and differences between real and complex Banach spaces: an overview and recent developments-Reference-Cited by-同舟云学术

Similarities and differences between real and complex Banach spaces: an overview and recent developments

Published:2022-03-24 Issue:2 Volume:116 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

Author:

Moslehian M. S.^ORCID,Muñoz-Fernández G. A.^ORCID,Peralta A. M.^ORCID,Seoane-Sepúlveda J. B.

Abstract

AbstractThere are numerous cases of discrepancies between results obtained in the setting of real Banach spaces and those obtained in the complex context. This article is a modern exposition of the subtle differences between key results and theories for complex and real Banach spaces and the corresponding linear operators between them. We deeply discuss some aspects of the complexification of real Banach spaces and give several examples showing how drastically different can be the behavior of real Banach spaces versus their complex counterparts.

Funder

Ferdowsi University of Mashhad

Ministerio de Ciencia, Innovación y Universidades

Agencia de Innovación y Desarrollo de Andalucía

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13398-022-01222-8.pdf

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