Functional Analysis: An elementary introduction

By:

Haase, Markus

Material type:

TextSeries: 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.

Item type:

Textbook

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Holdings
Cover image	Item type	Current library	Home library	Collection	Shelving location	Call number	Materials specified	Vol info	URL	Copy number	Status	Notes	Date due	Barcode	Item holds	Item hold queue priority	Course reserves
	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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