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Classical and discrete functional analysis with measure theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Classical and discrete functional analysis with measure theoryMartin Buntinas.
Author:	Buntinas, Martin.
Published:	Cambridge :Cambridge University Press,2022.
Description:	xi, 458 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 10 Jan 2022).
Subject:	Functional analysis.
Online resource:	https://doi.org/10.1017/9781139524445
ISBN:	9781139524445$q(electronic bk.)

Classical and discrete functional analysis with measure theory
Buntinas, Martin.

Classical and discrete functional analysis with measure theory[electronic resource] /Martin Buntinas. - Cambridge :Cambridge University Press,2022. - xi, 458 p. :ill., digital ;24 cm. - London Mathematical Society student texts ;101. - London Mathematical Society student texts ;81..

Title from publisher's bibliographic system (viewed on 10 Jan 2022).

Lebesgue measure -- Lebesgue integral -- Some calculus -- Abstract measures -- Metric and normed spaces -- Linear operators -- Fourier series -- Applications -- Sequence spaces -- Matrix maps, multipliers, and duality -- Summability.

Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.

ISBN: 9781139524445$q(electronic bk.)Subjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320 / .B83 2022

Dewey Class. No.: 515.7

Classical and discrete functional analysis with measure theory
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245 1 0 $a Classical and discrete functional analysis with measure theory $h [electronic resource] / $c Martin Buntinas.
260 $a Cambridge : $b Cambridge University Press, $c 2022.
300 $a xi, 458 p. : $b ill., digital ; $c 24 cm.
490 1 $a London Mathematical Society student texts ; $v 101
500 $a Title from publisher's bibliographic system (viewed on 10 Jan 2022).
505 0 $a Lebesgue measure -- Lebesgue integral -- Some calculus -- Abstract measures -- Metric and normed spaces -- Linear operators -- Fourier series -- Applications -- Sequence spaces -- Matrix maps, multipliers, and duality -- Summability.
520 $a Functional analysis deals with infinite-dimensional spaces. Its results are among the greatest achievements of modern mathematics and it has wide-reaching applications to probability theory, statistics, economics, classical and quantum physics, chemistry, engineering, and pure mathematics. This book deals with measure theory and discrete aspects of functional analysis, including Fourier series, sequence spaces, matrix maps, and summability. Based on the author's extensive teaching experience, the text is accessible to advanced undergraduate and first-year graduate students. It can be used as a basis for a one-term course or for a one-year sequence, and is suitable for self-study for readers with an undergraduate-level understanding of real analysis and linear algebra. More than 750 exercises are included to help the reader test their understanding. Key background material is summarized in the Preliminaries.
650 0 $a Functional analysis. $3 200585
650 0 $a Measure theory. $3 182047
830 0 $a London Mathematical Society student texts ; $v 81. $3 810761
856 4 0 $u https://doi.org/10.1017/9781139524445