Spear Operators Between Banach Spaces

Paperback

€ 50,95

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Spear Operators Between Banach Spaces

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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.
ISBN
9783319713328
Verschenen
01-01-2018
Bindwijze
Paperback
Pagina's
164 pagina's
Druk
1e
Taal
Engels
Formaat
23,8 cm x 15,4 cm x 1,5 cm
Gewicht
299 gram
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