Spear Operators Between Banach Spaces

Name: Spear Operators Between Banach Spaces
Brand: Springer International Publishing AG
SKU: 9783319713328
Price: 7200 KES
Availability: OutOfStock
ISBN: 9783319713328

1st ed. 2018

by Javier Merí , Miguel Martín , Vladimir Kadets

Book Details

Format Paperback / softback

Book Series Lecture Notes in Mathematics

ISBN-10 3319713329

ISBN-13 9783319713328

Edition 1st ed. 2018

Publisher Springer International Publishing AG

Imprint Springer International Publishing AG

Country of Manufacture CH

Country of Publication GB

Publication Date Apr 17th, 2018

Print length 164 Pages

Weight 296 grams

Dimensions 15.40 x 23.40 x 1.80 cms

Product Classification: Calculus & mathematical analysis Calculus and mathematical analysis

KSh 7,200.00

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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-Nikodým 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.

Get Spear Operators Between Banach Spaces by Javier Merí, Miguel Martín at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer International Publishing AG and it has 164 pages.