Essentials of measure theory
Classical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a one-semester beginning graduate course in measure theory, proposing an ℓℓ́abstractℓℓ́ approach to measure and integration, where the classical concrete cases of Lebesgue measure and Leb...
| Main Author: | Kubrusly, Carlos S., 1947- |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer,
2015.
|
| Physical Description: |
1 online resource. |
| Subjects: |
Table of Contents:
- Preface
- Part I. Introduction to Measure and Integration.-1. Measurable Functions
- 2. Measure on a?-Algebra
- 3. Integral of Nonnegative Functions
- 4. Integral of Real-Valued Functions
- 5. Banach Spaces Lp
- 6. Convergence of Functions
- 7. Decomposition of Measures
- 8. Extension of Measures
- 9. Product Measures
- Part II
- 10. Remarks on Integrals
- 11. Borel Measure
- 12. Representation Theorems
- 13. Invariant Measures
- References
- Index.