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Analysis in Banach Spaces : Volume II: Probabilistic Methods and Operator Theory

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概要 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 f...undamental 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. .続きを見る
目次 6.Random sums.-7.Type, cotype, and related properties
8.R-boundedness
9.Square functions and radonifying operators
11.The H1-functional calculus
P.Open problems
E.Probability theory
F Banach lattices
G Semigroups of linear operators
H.Holomorphic functions on the strip
I.Muckenhoupt weights
References
Index.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2017 English/International
Full text available from SpringerLink ebooks - Mathematics and Statistics without Lecture Notes (2017)

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登録日 2020.06.27
更新日 2021.05.09

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