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Functional Analysis An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras /

This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Muscat, Joseph (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Distance
  • Convergence and Continuity
  • Completeness and Separability
  • Connectedness
  • Compactness
  • Normed Spaces
  • Continuous Linear Maps
  • Main Examples
  • Hilbert Spaces
  • Banach Spaces
  • Differentiation and Integration
  • Banach Algebras
  • Spectral Theory
  • C∗-Algebras.