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ANALYSIS IN BANACH SPACES IBD

SPRINGER
02 / 2018
9783319698076
Inglés

Sinopsis

This secondávolume 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.áThe first two chapters address the relevant classicalábackground from the theory of Banach spaces, including notionsálikeátype, cotype, K-convexity and contraction principles. In turn, the next two chapters provideáa detailed treatment of the theory of R-boundedness and Banach spaceávalued square functions developed over the last 20 years. In the last chapter, this content is applied to developáthe holomorphic functional calculus of sectorial and bi-sectorial operators in Banacháspaces. Given its breadth of coverage, this book will be an invaluable reference to graduateástudents and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.á