Lectures on Functional Analysis and the Lebesgue Integral: 2016
Vilmos Komornik
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Description for Lectures on Functional Analysis and the Lebesgue Integral: 2016
Paperback. Based on three series of lectures by the author at the University of Strasbourg, this book presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension, leading naturally to the basic notions and theorems. Most results are illustrated by the small lp spaces. Series: Universitext. Num Pages: 403 pages, 46 black & white illustrations, 13 colour tables, biography. BIC Classification: PBKF; PBKJ; PBKL. Category: (G) General (US: Trade). Dimension: 161 x 239 x 27. Weight in Grams: 638.
This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most results are illustrated by the small lp spaces. The Lebesgue integral, meanwhile, is treated via the direct approach of Frigyes Riesz, whose constructive definition of measurable functions leads to optimal, clear-cut versions of the classical theorems of Fubini-Tonelli and Radon-Nikodym. Lectures on Functional Analysis and the Lebesgue Integral presents the most important topics ... Read more
This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. Most results are illustrated by the small lp spaces. The Lebesgue integral, meanwhile, is treated via the direct approach of Frigyes Riesz, whose constructive definition of measurable functions leads to optimal, clear-cut versions of the classical theorems of Fubini-Tonelli and Radon-Nikodym. Lectures on Functional Analysis and the Lebesgue Integral presents the most important topics ... Read more
Product Details
Publisher
Springer London Ltd
Format
Paperback
Publication date
2017
Series
Universitext
Condition
New
Number of Pages
403
Place of Publication
London, United Kingdom
ISBN
9781447168102
SKU
V9781447168102
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Vilmos Komornik
Vilmos Komornik has studied in Budapest, Hungary, and has taught in Hungary and France for nearly 40 years. His main research fields are control theory of partial differential equations and combinatorial number theory. He has made a number of contributions to the theory of J.L. Lions on exact controllability and stabilization and has co-authored several papers on expansions in noninteger ... Read more
Reviews for Lectures on Functional Analysis and the Lebesgue Integral: 2016
This book is written in a clear and readable style ... . The author gathers a collection of exercises in each chapter and presents some hints and solutions to some of them at the end of the book, helping the readers to develop their knowledge. The book is indeed a comprehensive study of Lp-spaces, useful for graduate students in mathematics, ... Read more