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    Introduction to Functional Analysis

Introduction to Functional Analysis

Reinhold Meise, Dietmar Vogt, M. S. Ramanujan
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      The book is 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 HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectraltheory 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 in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fréchet spaces and their duals. In particularrecent results on sequences spaces, linear topological invariants and short exact sequences of Fréchet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.
      Format: CONTRIBUTORS: Reinhold Meise, Dietmar Vogt, M. S. Ramanujan EAN: 9780198514855 COUNTRY: United Kingdom PAGES: WEIGHT: 757 g HEIGHT: 242 cm
      PUBLISHED BY: Oxford University Press DATE PUBLISHED: 1997-07-31 CITY: GENRE: MATHEMATICS / Algebra / Linear, MATHEMATICS / Applied, MATHEMATICS / Calculus, MATHEMATICS / Functional Analysis WIDTH: 162 cm SPINE:

      Book Themes:

      Functional analysis and transforms

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      The book is 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 HahnBanach. The spaces (p Lp (X,(), C(X)' and Sobolov spaces are introduced. A chapter on spectraltheory 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 in Hilbert spaces. An introduction to locally convex spaces and their duality theory provides the basis for a comprehensive treatment of Fréchet spaces and their duals. In particularrecent results on sequences spaces, linear topological invariants and short exact sequences of Fréchet spaces and the splitting of such sequences are presented. These results are not contained in any other book in this field.
      Format: CONTRIBUTORS: Reinhold Meise, Dietmar Vogt, M. S. Ramanujan EAN: 9780198514855 COUNTRY: United Kingdom PAGES: WEIGHT: 757 g HEIGHT: 242 cm
      PUBLISHED BY: Oxford University Press DATE PUBLISHED: 1997-07-31 CITY: GENRE: MATHEMATICS / Algebra / Linear, MATHEMATICS / Applied, MATHEMATICS / Calculus, MATHEMATICS / Functional Analysis WIDTH: 162 cm SPINE:

      Book Themes:

      Functional analysis and transforms

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