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A First Course in Functional Analysis /

By: Material type: TextTextLanguage: English Publication details: New Delhi : Narosa Publishing House, 2006.Description: 400p. : illISBN:
  • 9788173197437
Subject(s): DDC classification:
  • 515.7 SOM
Contents:
Preface Banach Spaces Continuous Linear Functionals The Basic Theorems of Bounded Linear Operators Hilbert Spaces Operators on Hilbert Spaces Spectral Theory Banach Algebras References Index.
Summary: A First Course in Functional Analysis lucidly covers Banach spaces, continuous linear functionals, the basic theorems of bounded linear operators, Hilbert spaces, operators on Hilbert spaces, spectral theory and Banach algebras usually taught as a core course to post-graduate students in mathematics. The special distinguishing features of the book includes the establishment of the spectral theorem for the compact normal operators in the infinite dimensional case exactly in the same form as in the finite dimensional case and a detailed treatment of the theory of Banach algebras leading to the proof of the Gelfond – Neumark structure theorem for Banach algebras.
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Item type Current library Collection Call number Status Date due Barcode
Project book Project book CUTN Central Library Sciences Non-fiction 515.7 SOM (Browse shelf(Opens below)) Checked out to Renuka Devi V (20019T) 21/02/2025 51930

Preface
Banach Spaces
Continuous Linear Functionals
The Basic Theorems of Bounded Linear Operators
Hilbert Spaces
Operators on Hilbert Spaces
Spectral Theory
Banach Algebras
References
Index.

A First Course in Functional Analysis lucidly covers Banach spaces, continuous linear functionals, the basic theorems of bounded linear operators, Hilbert spaces, operators on Hilbert spaces, spectral theory and Banach algebras usually taught as a core course to post-graduate students in mathematics. The special distinguishing features of the book includes the establishment of the spectral theorem for the compact normal operators in the infinite dimensional case exactly in the same form as in the finite dimensional case and a detailed treatment of the theory of Banach algebras leading to the proof of the Gelfond – Neumark structure theorem for Banach algebras.

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