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Functional Analysis: An elementary introduction

By: Material type: TextTextSeries: Graduate studies in mathematics ; 156Publication details: Hyderabad American Mathematical Society 2014Description: xviii, 372 p. Includes bibliography and indexISBN:
  • 9781470454739
Subject(s): Other classification:
  • X:(B) Q4
Summary: This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts.
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Textbook Textbook Ratan Tata Library Ratan Tata Library X:(B) Q4 (Browse shelf(Opens below)) Checked out to SOURAV SARKAR (RL102000016) 2025-09-17 RT1585225

This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts.

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