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 "abstract" approach to measure and integration, where the classical concrete cases of Lebesgue measure a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kubrusly, Carlos S. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Measure theory.
Topology.
Measure and Integration.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Part I. Introduction to Measure and Integration.-1. Measurable Functions
  • 2. Measure on a σ-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.

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