Spear Operators Between Banach Spaces Paperback / softback
by Vladimir Kadets, Miguel Martin, Javier Meri, Antonio Perez
Part of the Lecture Notes in Mathematics series
Paperback / softback
Description
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.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:164 pages, 5 Illustrations, black and white; XVII, 164 p. 5 illus.
- Publisher:Springer International Publishing AG
- Publication Date:17/04/2018
- Category:
- ISBN:9783319713328
Information
-
Out of stock
- Format:Paperback / softback
- Pages:164 pages, 5 Illustrations, black and white; XVII, 164 p. 5 illus.
- Publisher:Springer International Publishing AG
- Publication Date:17/04/2018
- Category:
- ISBN:9783319713328
