Classical and Discrete Functional Analysis with Measure Theory

Author:   Martin Buntinas (Loyola University, Chicago)
Publisher:   Cambridge University Press
Edition:   New edition
ISBN:  

9781107634886


Pages:   350
Publication Date:   20 January 2022
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Classical and Discrete Functional Analysis with Measure Theory


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Author:   Martin Buntinas (Loyola University, Chicago)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Edition:   New edition
Dimensions:   Width: 15.20cm , Height: 2.80cm , Length: 23.00cm
Weight:   0.720kg
ISBN:  

9781107634886


ISBN 10:   1107634881
Pages:   350
Publication Date:   20 January 2022
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preliminaries; Part I. Measure and Integration: 1. Lebesgue measure; 2. Lebesgue integral; 3. Some calculus; 4. Abstract measures; Part II. Elements of Classical Functional Analysis: 5. Metric and normed spaces; 6. Linear operators; Part III. Discrete Functional Analysis: 7. Fourier series; 8. Applications; 9. Sequence spaces; 10. Matrix maps, multipliers, and duality; 11. Summability; Index.

Reviews

'Every theorem, proposition, lemma, and corollary has a very understandable proof, is easy to follow, and is well supported by the previous results (in the sense of a self-contained book). … I do not hesitate to say that this book is not far from being an encyclopedic book in functional analysis-measure theory-Fourier series.' Rigoberto Vera Mendoza, MathSciNet (https://mathscinet.ams.org)


Author Information

Martin Buntinas is Professor Emeritus in the Department of Mathematics and Statistics at Loyola University Chicago, where he served as the chair of the Department of Mathematical & Computer Sciences from 1992 to 1998. He publishes in the areas of functional analysis, sequence spaces, Fourier series, and approximation theory. He has been a Humboldt and a Fulbright Senior Scholar, and has organized numerous international conferences in sequence spaces.

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