Princeton University Library Catalog

A first course in functional analysis [electronic resource] : theory and applications / Rabindranath Sen.

Sen, Rabindranath [Browse]
London ; New York : Anthem Press, 2013.
1 online resource (xviii, 468 pages) : illustrations
Summary note:
A comprehensive introduction to functional analysis, beginning with the fundamentals and extending into theory and applications. The volume starts with an introduction to sets and metric spaces and the notions of convergence, completeness and compactness, and continues to a detailed treatment of normed linear spaces and Hilbert spaces. The reader is then introduced to linear operators and functionals, the Hahn-Banach theorem on linear bounded functionals, conjugate spaces and adjoint operators, and the space of linear bounded functionals. Further topics include the closed graph theorem, the open mapping theorem, linear operator theory including unbounded operators, spectral theory, and a brief introduction to the Lebesgue measure. The cornerstone of the book lies in the motivation for the development of these theories, and applications that illustrate the theories in action -- P. [4] of cover.
Bibliographic references:
Includes bibliographical references (pages 459-462) and index.
Source of description:
Print version record.
Functional analysis [Browse]
  • 9780857282224 (electronic bk.)
  • 0857282220 (electronic bk.)
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