Name: Classical and Discrete Functional Analysis with Measure Theory By Martin Buntinas (Loyola University, Chicago)
SKU: 9781107034143
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Classical and Discrete Functional Analysis with Measure Theory Summary

Classical and Discrete Functional Analysis with Measure Theory by Martin Buntinas (Loyola University, Chicago)

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.

Classical and Discrete Functional Analysis with Measure Theory 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)

About Martin Buntinas (Loyola University, Chicago)

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.

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.

Additional information

Sku

NPB9781107034143

ISBN 13

9781107034143

ISBN 10

1107034140

Title

Classical and Discrete Functional Analysis with Measure Theory by Martin Buntinas (Loyola University, Chicago)

Author

Martin Buntinas (Loyola University, Chicago)

Series

London Mathematical Society Student Texts

Condition

New

Binding type

Hardback

Publisher

Cambridge University Press

Year published

2022-01-20

Number of pages

350

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Classical and Discrete Functional Analysis with Measure Theory Martin Buntinas (Loyola University, Chicago)

Classical and Discrete Functional Analysis with Measure Theory by Martin Buntinas (Loyola University, Chicago)

Summary

Classical and Discrete Functional Analysis with Measure Theory Summary

Classical and Discrete Functional Analysis with Measure Theory by Martin Buntinas (Loyola University, Chicago)

Classical and Discrete Functional Analysis with Measure Theory Reviews

About Martin Buntinas (Loyola University, Chicago)

Table of Contents

Additional information

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