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Spear Operators Between Banach Spaces
Engelsk
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Specifikationer
Sprog:
Engelsk
Sider:
164
ISBN-13:
9783319713328
Indbinding:
Paperback
Udgave:
ISBN-10:
3319713329
Udg. Dato:
17 apr 2018
Længde:
18mm
Bredde:
234mm
Højde:
154mm
Forlag:
Springer International Publishing AG
Serie:
Lecture Notes in Mathematics
Oplagsdato:
17 apr 2018

Spear Operators Between Banach Spaces

Engelsk
Paperback
Format:

Om denne bog
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.

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Specifikationer
Sprog:
Engelsk
Sider:
164
ISBN-13:
9783319713328
Indbinding:
Paperback
Udgave:
ISBN-10:
3319713329
Udg. Dato:
17 apr 2018
Længde:
18mm
Bredde:
234mm
Højde:
154mm
Forlag:
Springer International Publishing AG
Serie:
Lecture Notes in Mathematics
Oplagsdato:
17 apr 2018
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