By Albrecht Pietsch,Jörg Wenzel

ISBN-10: 0521054311

ISBN-13: 9780521054317

ISBN-10: 0521624622

ISBN-13: 9780521624626

Orthonormal platforms and Banach area Geometry describes the interaction among orthonormal expansions and Banach area geometry. utilizing harmonic research as a beginning platform, classical inequalities and targeted features are used to review orthonormal structures resulting in an figuring out of the benefits of structures which includes characters on compact Abelian teams. Probabilistic ideas equivalent to random variables and martingales are hired and Ramsey's theorem is used to review the idea of super-reflexivity. The textual content yields an in depth perception into thoughts together with sort and co-type of Banach areas, B-convexity, super-reflexivity, the vector-valued Fourier rework, the vector-valued Hilbert rework and the unconditionality estate for martingale modifications (UMD). a protracted record of unsolved difficulties is incorporated as a place to begin for examine. This e-book will be available to graduate scholars and researchers with a few uncomplicated wisdom of Banach area thought, actual research, chance and algebra.

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Orthonormal Systems and Banach Space Geometry (Encyclopedia of Mathematics and its Applications) by Albrecht Pietsch,Jörg Wenzel


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