Martin Buntinas (Chicago Loyola University)

Classical and Discrete Functional Analysis with Measure Theory

• Broschiertes Buch

Produktbeschreibung

This book concentrates on discrete aspects of functional analysis, including Fourier series, sequence spaces, and matrix maps. It is suitable for advanced undergraduates and above, and is an excellent textbook for capstone courses in mathematical analysis as well as beginning graduate courses in measure theory and functional analysis.

Produktdetails

• London Mathematical Society Student Texts
• Verlag: Cambridge University Press
• Seitenzahl: 472
• Erscheinungstermin: 7. Dezember 2021
• Englisch
• Abmessung: 229mm x 152mm x 28mm
• Gewicht: 714g
• ISBN-13: 9781107634886
• ISBN-10: 1107634881
• Artikelnr.: 62158658

Autorenporträt

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.

Inhaltsangabe

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.