Analysis in Banach Spaces - Volume II: Probabilistic Methods and Operator Theory (Paperback, Softcover reprint of the original 1st ed. 2017)

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 67
Release date:	June 2019
First published:	2017
Authors:	Tuomas Hytoenen • Jan Van Neerven • Mark Veraar • Lutz Weis
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	616
Edition:	Softcover reprint of the original 1st ed. 2017
ISBN-13:	978-3-319-88846-0
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-319-88846-3
Barcode:	9783319888460

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