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Introduction to Functional Analysis by Vogt Meise, Dietmar Vogt, Reinhold Meise

Introduction to Functional Analysis

by Vogt Meise , Dietmar Vogt , Reinhold Meise
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Book cover type: Hardcover
  • ISBN13: 9780198514855
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: OUP Oxford
  • Publisher Imprint: OUP Oxford
  • Publication Date:
  • Pages: 448
  • Original Price: GBP 107.5
  • Language: English
  • Edition: N/A
  • Item Weight: 826 grams
  • BISAC Subject(s): Calculus

This book was written for students of mathematics and physics who have a basic knowledge of analysis and linear algebra. It can be used as a textbook for courses and/or seminars in functional analysis. Starting from metric spaces, it proceeds quickly to the central results of the field, including the theorem of Hahn-Banach. The spaces (p Lp (X, (), C(X)' and Sebolov spaces are introduced. A chapter on spectral theory contains the Riesz theory of compact operators, basic facts on Banach and C-algebras, and the spectral representation for bounded normal and unbounded self-adjoint operators for Hilbert spaces. A discussion of locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Frechet spaces and their duals.

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