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A course in functional analysis

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Información General

  • Autores: John B. Conway
  • Editores: New York : Springer-Verlag, 1990
  • Año de publicación: 1990
  • País: Estados Unidos
  • Idioma: inglés
  • ISBN: 0-387-97245-5
  • Texto completo no disponible (Saber más ...)

Resumen

  • This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included.

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Índice

  • 1: Hilbert Spaces. 2: Operators on Hilbert Space. 3: Banach Spaces. 4: Locally Convex Spaces. 5: Weak Topologies. 6: Linear Operators on a Banach Space. 7: Banach Algebras and Spectral Theory for Operators on a Banach Space. 8: C^* Algebras. 9: Normal Operators on Hilbert Space. 10: Unbounded Operators. 11: Fredholm Theory.



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