Analysis On Polish Spaces And An Introduction To Optimal Transportation
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Analysis on Polish Spaces and an Introduction to Optimal Transportation
Author: D. J. H. Garling
language: en
Publisher: Cambridge University Press
Release Date: 2018
Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.
Classical and Discrete Functional Analysis with Measure Theory
Author: Martin Buntinas
language: en
Publisher: Cambridge University Press
Release Date: 2022-01-20
Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.
Tensor Products of C*-algebras and Operator Spaces
Author: Gilles Pisier
language: en
Publisher: Cambridge University Press
Release Date: 2020-02-27
Presents an important open problem on operator algebras in a style accessible to young researchers or Ph.D. students.