國立虎尾科技大學 |

Spectral Theory of Bounded Linear Operators

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Spectral Theory of Bounded Linear Operators/ by Carlos S. Kubrusly.
Author:	Kubrusly, Carlos S.
Description:	XII, 249 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Operator theory. -
Online resource:	https://doi.org/10.1007/978-3-030-33149-8
ISBN:	9783030331498

Spectral Theory of Bounded Linear Operators
Kubrusly, Carlos S.

Spectral Theory of Bounded Linear Operators[electronic resource] /by Carlos S. Kubrusly. - 1st ed. 2020. - XII, 249 p. 2 illus.online resource.

Preface -- Introductory Results -- Spectrum of an Operator -- The Spectral Theorem -- Functional Calculi -- Fredholm Theory in Hilbert Space -- Aspects of Fredholm Theory in Banach Space -- A Glimpse at Multiplicity Theory.

This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory in both Banach and Hilbert spaces. Detailed proofs of all theorems are included and presented with precision and clarity, especially for the spectral theorems, allowing students to thoroughly familiarize themselves with all the important concepts. Covering both basic and more advanced material, the five chapters and two appendices of this volume provide a modern treatment on spectral theory. Topics range from spectral results on the Banach algebra of bounded linear operators acting on Banach spaces to functional calculus for Hilbert and Banach-space operators, including Fredholm and multiplicity theories. Supplementary propositions and further notes are included as well, ensuring a wide range of topics in spectral theory are covered. Spectral Theory of Bounded Linear Operators is ideal for graduate students in mathematics, and will also appeal to a wider audience of statisticians, engineers, and physicists. Though it is mostly self-contained, a familiarity with functional analysis, especially operator theory, will be helpful.

ISBN: 9783030331498

Standard No.: 10.1007/978-3-030-33149-8doiSubjects--Topical Terms:

527910
Operator theory.

LC Class. No.: QA329-329.9

Dewey Class. No.: 515.724

Spectral Theory of Bounded Linear Operators
LDR:02887nam a22003975i 4500 001 1019344
003 DE-He213
005 20200706203955.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030331498 $9 978-3-030-33149-8
024 7 $a 10.1007/978-3-030-33149-8 $2 doi
035 $a 978-3-030-33149-8
050 4 $a QA329-329.9
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.724 $2 23
100 1 $a Kubrusly, Carlos S. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 881308
245 1 0 $a Spectral Theory of Bounded Linear Operators $h [electronic resource] / $c by Carlos S. Kubrusly.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2020.
300 $a XII, 249 p. 2 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Preface -- Introductory Results -- Spectrum of an Operator -- The Spectral Theorem -- Functional Calculi -- Fredholm Theory in Hilbert Space -- Aspects of Fredholm Theory in Banach Space -- A Glimpse at Multiplicity Theory.
520 $a This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory in both Banach and Hilbert spaces. Detailed proofs of all theorems are included and presented with precision and clarity, especially for the spectral theorems, allowing students to thoroughly familiarize themselves with all the important concepts. Covering both basic and more advanced material, the five chapters and two appendices of this volume provide a modern treatment on spectral theory. Topics range from spectral results on the Banach algebra of bounded linear operators acting on Banach spaces to functional calculus for Hilbert and Banach-space operators, including Fredholm and multiplicity theories. Supplementary propositions and further notes are included as well, ensuring a wide range of topics in spectral theory are covered. Spectral Theory of Bounded Linear Operators is ideal for graduate students in mathematics, and will also appeal to a wider audience of statisticians, engineers, and physicists. Though it is mostly self-contained, a familiarity with functional analysis, especially operator theory, will be helpful.
650 0 $a Operator theory. $3 527910
650 0 $a Functional analysis. $3 527706
650 1 4 $a Operator Theory. $3 672127
650 2 4 $a Functional Analysis. $3 672166
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030331481
776 0 8 $i Printed edition: $z 9783030331504
776 0 8 $i Printed edition: $z 9783030331511
856 4 0 $u https://doi.org/10.1007/978-3-030-33149-8
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)