Name: Spear Operators Between Banach Spaces (Lecture Notes in Mathematics) (en Inglés)
Price: 71.75 EUR
Availability: InStock
Author: Kadets,Martín,Merí,Pérez
ISBN: 9783319713328

portada Spear Operators Between Banach Spaces (Lecture Notes in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Kadets,Martín,Merí,Pérez

Año

2018

Idioma

Inglés

N° páginas

164

Encuadernación

Tapa Blanda

ISBN13

9783319713328

Categorías

Cálculo

Spear Operators Between Banach Spaces (Lecture Notes in Mathematics) (en Inglés)

Kadets,Martín,Merí,Pérez (Autor) · Springer · Tapa Blanda

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71,75 €

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Reseña del libro "Spear Operators Between Banach Spaces (Lecture Notes in Mathematics) (en Inglés)"

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 $T:X\longrightarrow Y$ there exists a modulus-one scalar $\omega$ such that$\|G + \omega\,T\|=1+ \|T\|$.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 $L_1$. 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.