Functional Analysis for Probability and Stochastic Processes: An Introduction by Adam Bobrowski (Author)

Functional Analysis for Probability and Stochastic Processes: An Introduction  by Adam Bobrowski (Author)
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Functional Analysis for Probability and Stochastic Processes: An Introduction by Adam Bobrowski (Author)

Publisher: Cambridge University Press (September 12, 2005)

Designed for students of probability and stochastic processes, as well as for students of functional analysis, specifically, this volume presents some chosen parts of functional analysis that can help clarify probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook or for self-study.

Review "My impression is that this text might well succeed as an attractive introduction to, or even as propaganda for the subject of probability and stochastic processes for a well-educated analyst without a probabilistic background." N.H. Bingham, Journal of the American Statistical Association Book Description This text is designed both for students of probability and stochastic processes, and for students of functional analysis. It presents some chosen parts of functional analysis that can help understand ideas from probability and stochastic processes. The subjects range from basic Hilbert and Banach spaces, through weak topologies and Banach algebras, to the theory of semigroups of bounded linear operators. Numerous standard and non-standard examples and exercises make the book suitable as a course textbook as well as for self-study.