東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

A course in functional analysis and ...

Kadets, Vladimir.

Linked to FindBook

Google Book

Amazon

博客來

A course in functional analysis and measure theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	A course in functional analysis and measure theory/ by Vladimir Kadets.
Author:	Kadets, Vladimir.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xxii, 539 p. :digital ;24 cm.
[NT 15003449]:	Introduction -- Chapter 1. Metric and topological spaces -- Chapter 2. Measure theory -- Chapter 3. Measurable functions -- Chapter 4. The Lebesgue integral -- Chapter 5. Linear spaces, linear functionals, and the Hahn-Banach theorem -- Chapter 6. Normed spaces -- Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral -- Chapter 8. The integral on C(K) -- Chapter 9. Continuous linear functionals -- Chapter 10. Classical theorems on continuous operators -- Chapter 11. Elements of spectral theory of operators. Compact operators -- Chapter 12. Hilbert spaces -- Chapter 13. Functions of an operator -- Chapter 14. Operators in Lp -- Chapter 15. Fixed-point theorems and applications -- Chapter 16. Topological vector spaces -- Chapter 17. Elements of duality theory -- Chapter 18. The Krein-Milman theorem and applications -- References. Index.
Contained By:	Springer eBooks
Subject:	Functional analysis. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-92004-7
ISBN:	9783319920047

A course in functional analysis and measure theory
Kadets, Vladimir.

A course in functional analysis and measure theory[electronic resource] /by Vladimir Kadets. - Cham :Springer International Publishing :2018. - xxii, 539 p. :digital ;24 cm. - Universitext,0172-5939. - Universitext..

Introduction -- Chapter 1. Metric and topological spaces -- Chapter 2. Measure theory -- Chapter 3. Measurable functions -- Chapter 4. The Lebesgue integral -- Chapter 5. Linear spaces, linear functionals, and the Hahn-Banach theorem -- Chapter 6. Normed spaces -- Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral -- Chapter 8. The integral on C(K) -- Chapter 9. Continuous linear functionals -- Chapter 10. Classical theorems on continuous operators -- Chapter 11. Elements of spectral theory of operators. Compact operators -- Chapter 12. Hilbert spaces -- Chapter 13. Functions of an operator -- Chapter 14. Operators in Lp -- Chapter 15. Fixed-point theorems and applications -- Chapter 16. Topological vector spaces -- Chapter 17. Elements of duality theory -- Chapter 18. The Krein-Milman theorem and applications -- References. Index.

Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.

ISBN: 9783319920047

Standard No.: 10.1007/978-3-319-92004-7doiSubjects--Topical Terms:

531838
Functional analysis.

LC Class. No.: QA320 / .K334 2018

Dewey Class. No.: 515.7

A course in functional analysis and measure theory
LDR:02747nmm a2200325 a 4500 001 2152508
003 DE-He213
005 20190130142124.0
006 m d
007 cr nn 008maaau
008 190403s2018 gw s 0 eng d
020 $a 9783319920047 $q (electronic bk.)
020 $a 9783319920030 $q (paper)
024 7 $a 10.1007/978-3-319-92004-7 $2 doi
035 $a 978-3-319-92004-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA320 $b .K334 2018
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 515.7 $2 23
090 $a QA320 $b .K11 2018
100 1 $a Kadets, Vladimir. $3 3321762
245 1 2 $a A course in functional analysis and measure theory $h [electronic resource] / $c by Vladimir Kadets.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xxii, 539 p. : $b digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a Introduction -- Chapter 1. Metric and topological spaces -- Chapter 2. Measure theory -- Chapter 3. Measurable functions -- Chapter 4. The Lebesgue integral -- Chapter 5. Linear spaces, linear functionals, and the Hahn-Banach theorem -- Chapter 6. Normed spaces -- Chapter 7. Absolute continuity of measures and functions. Connection between derivative and integral -- Chapter 8. The integral on C(K) -- Chapter 9. Continuous linear functionals -- Chapter 10. Classical theorems on continuous operators -- Chapter 11. Elements of spectral theory of operators. Compact operators -- Chapter 12. Hilbert spaces -- Chapter 13. Functions of an operator -- Chapter 14. Operators in Lp -- Chapter 15. Fixed-point theorems and applications -- Chapter 16. Topological vector spaces -- Chapter 17. Elements of duality theory -- Chapter 18. The Krein-Milman theorem and applications -- References. Index.
520 $a Written by an expert on the topic and experienced lecturer, this textbook provides an elegant, self-contained introduction to functional analysis, including several advanced topics and applications to harmonic analysis. Starting from basic topics before proceeding to more advanced material, the book covers measure and integration theory, classical Banach and Hilbert space theory, spectral theory for bounded operators, fixed point theory, Schauder bases, the Riesz-Thorin interpolation theorem for operators, as well as topics in duality and convexity theory. Aimed at advanced undergraduate and graduate students, this book is suitable for both introductory and more advanced courses in functional analysis. Including over 1500 exercises of varying difficulty and various motivational and historical remarks, the book can be used for self-study and alongside lecture courses.
650 0 $a Functional analysis. $3 531838
650 0 $a Measure theory. $3 516951
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Measure and Integration. $3 891263
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Real Functions. $3 891265
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Universitext. $3 812115
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-92004-7
950 $a Mathematics and Statistics (Springer-11649)