Format:
1 Online-Ressource (ix, 553 pages)
,
digital, PDF file(s).
ISBN:
9780511526145
Series Statement:
Encyclopedia of mathematics and its applications volume 70
Content:
Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521054317
Additional Edition:
ISBN 9780521624626
Additional Edition:
ISBN 9780521624626
Additional Edition:
ISBN 9780521054317
Additional Edition:
Erscheint auch als Pietsch, Albrecht, 1934 - 2024 Orthonormal systems and Banach space geometry Cambridge [u.a.] : Cambridge Univ. Press, 1998 ISBN 0521624622
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521624626
Language:
English
Subjects:
Mathematics
Keywords:
Banach-Raum
;
Orthonormalsystem
DOI:
10.1017/CBO9780511526145
