Title : ( Similarities and differences between real and complex Banach spaces: an overview and recent developments )
Authors: Mohammad Sal Moslehian , G. A. Munoz-Fernandez , A. M. Peralta , J. B. Seoane ,
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Abstract
There 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.
Keywords
Complexification Banach space Hilbert space Polynomial Operator algebra
@article{paperid:1091764,
author = {Sal Moslehian, Mohammad and G. A. Munoz-Fernandez and A. M. Peralta and J. B. Seoane},
title = {Similarities and differences between real and complex Banach spaces: an overview and recent developments},
journal = {Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas},
year = {2022},
volume = {116},
number = {2},
month = {March},
issn = {1578-7303},
keywords = {Complexification
Banach space
Hilbert space
Polynomial
Operator algebra},
}
%0 Journal Article
%T Similarities and differences between real and complex Banach spaces: an overview and recent developments
%A Sal Moslehian, Mohammad
%A G. A. Munoz-Fernandez
%A A. M. Peralta
%A J. B. Seoane
%J Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales: Matematicas
%@ 1578-7303
%D 2022
