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Lectures on Functional Analysis and the Lebesgue Integral
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 th...
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
London :
Springer London : Imprint: Springer,
2016.
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| Edition: | 1st ed. 2016. |
| Series: | Universitext,
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| Subjects: | |
| Online Access: | Texto Completo |
Table of Contents:
- Some papers of general interest
- Topological prerequisites
- Part 1 Functional analysis
- Hilbert spaces
- Banach spaces
- Locally convex spaces
- Part 2 The Lebesgue integral
- Monotone functions.- The Lebesgue integral in R
- Generalized Newton-Leibniz formula
- Integrals on measure spaces
- Part 3 Function spaces.- Spaces of continuous functions
- Spaces of integrable functions
- Almost everywhere convergence
- Hints and solutions to some exercises.- Bibliography
- Teaching remarks
- Subject index
- Name index.