Martin BuntinasClassical and Discrete Functional Analysis with Measure Theory
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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.