The Leading eBooks Store Online
for Kindle Fire, Apple, Android, Nook, Kobo, PC, Mac, BlackBerry ...
Isometries in Banach Spaces
Vector-valued Function Spaces and Operator Spaces, Volume Two
Picking up where the first volume left off, the book begins with a chapter on the Banach–Stone property. The authors consider the case where the isometry is from C0(Q, X) to C0(K, Y) so that the property involves pairs (X, Y) of spaces. The next chapter examines spaces X for which the isometries on LP(μ, X) can be described as a generalization of the form given by Lamperti in the scalar case. The book then studies isometries on direct sums of Banach and Hilbert spaces, isometries on spaces of matrices with a variety of norms, and isometries on Schatten classes. It subsequently highlights spaces on which the group of isometries is maximal or minimal. The final chapter addresses more peripheral topics, such as adjoint abelian operators and spectral isometries.
Essentially self-contained, this reference explores a fundamental aspect of Banach space theory. Suitable for both experts and newcomers to the field, it offers many references to provide solid coverage of the literature on isometries.
245 pages; ISBN 9781420010206
, or download in
Teaching Numeracy 2011 US$ 34.95 241 pages
Discovering Statistics using IBM SPSS Statistics 2013 US$ 85.00 953 pages
- Academic > Mathematics > Functional analysis > Linear topological spaces
- Academic > Mathematics > Functional analysis > Banach spaces
- Academic > Mathematics > General > Mathematics
- Academic > Mathematics > General > Mathematics, Medieval
- Academic > Mathematics > Analysis
- Mathematics > Calculus
- Mathematics > Differential Equations