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Introduction to functional analysis

Clason, Christian.

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Introduction to functional analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to functional analysis/ by Christian Clason.
Author:	Clason, Christian.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	x, 170 p. :ill., digital ;24 cm.
[NT 15003449]:	Topological basics -- Linear operators between normed spaces -- Dual spaces and weak convergence -- Compact operators between Banach spaces -- Hilbert spaces.
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-3-030-52784-6
ISBN:	9783030527846

Introduction to functional analysis
Clason, Christian.

Introduction to functional analysis[electronic resource] /by Christian Clason. - Cham :Springer International Publishing :2020. - x, 170 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

Topological basics -- Linear operators between normed spaces -- Dual spaces and weak convergence -- Compact operators between Banach spaces -- Hilbert spaces.

Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence.

ISBN: 9783030527846

Standard No.: 10.1007/978-3-030-52784-6doiSubjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

Introduction to functional analysis
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245 1 0 $a Introduction to functional analysis $h [electronic resource] / $c by Christian Clason.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a x, 170 p. : $b ill., digital ; $c 24 cm.
490 1 $a Compact textbooks in mathematics, $x 2296-4568
505 0 $a Topological basics -- Linear operators between normed spaces -- Dual spaces and weak convergence -- Compact operators between Banach spaces -- Hilbert spaces.
520 $a Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence.
650 0 $a Functional analysis. $3 531838
650 1 4 $a Functional Analysis. $3 893943
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Compact textbooks in mathematics. $3 2107015
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950 $a Mathematics and Statistics (SpringerNature-11649)