Spear Operators Between Banach Spaces (Paperback, 1st ed. 2018)

This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying that for every other bounded linear operator T:X Y there exists a modulus-one scalar such that G+ T = 1 + T . This concept extends the properties of the identity operator in those Banach spaces having numerical index one. Many examples among classical spaces are provided, being one of them the Fourier transform on L1. The relationships with the Radon-Nikodym property, with Asplund spaces and with the duality, and some isometric and isomorphic consequences are provided. Finally, Lipschitz operators satisfying the Lipschitz version of the equation above are studied. The book could be of interest to young researchers and specialists in functional analysis, in particular to those interested in Banach spaces and their geometry. It is essentially self-contained and only basic knowledge of functional analysis is needed.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2205
Release date:	April 2018
First published:	2018
Authors:	Vladimir Kadets • Miguel Martin • Javier Meri • Antonio Perez
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	164
Edition:	1st ed. 2018
ISBN-13:	978-3-319-71332-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	3-319-71332-9
Barcode:	9783319713328

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