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Infinite Dimensional Analysis: A Hitchhiker's Guide
Odds and ends.- Topology.- Metrizable spaces.- Topological vector spaces.- Normed spaces.- Riesz spaces.- Banach lattices.- Charges and measures.- Integrals.- Lp-spaces.- Measures and topology.- Probability measures on metrizable spaces.- Spaces of sequences.- Correspondences.- Markov transitions.- Ergodicity.
- GenresMathematics
624 pages, Paperback
First published January 1, 1994
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April 22, 2008
This book is a totally cool introduction to functional analysis. The presentation is clear and easy to follow without being slow paced, and in particular I like the treatment of weak* convergence more than Billingsley's.
Before reading this book, I knew squat. Afterward, of course I still know very little, but it taught me enough to be able to make respectable progress on some problems in infinite dimensional vector spaces. So I am a content reader.
Before reading this book, I knew squat. Afterward, of course I still know very little, but it taught me enough to be able to make respectable progress on some problems in infinite dimensional vector spaces. So I am a content reader.
Displaying 1 of 1 review