國立高雄大學圖資館 |

Language: English

Back

Metric modular spaces

Chistyakov, Vyacheslav V.

Metric modular spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Metric modular spacesby Vyacheslav V. Chistyakov.
Author:	Chistyakov, Vyacheslav V.
Published:	Cham :Springer International Publishing :2015.
Description:	xiii, 137 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Metric spaces.
Online resource:	http://dx.doi.org/10.1007/978-3-319-25283-4
ISBN:	9783319252834$q(electronic bk.)

Metric modular spaces
Chistyakov, Vyacheslav V.

Metric modular spaces[electronic resource] /by Vyacheslav V. Chistyakov. - Cham :Springer International Publishing :2015. - xiii, 137 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

1.Classes of Modulars -- 2. Metrics on Modular Spaces -- 3. Modular Transforms -- 4. Topologies on Modular Spaces -- 5. Bounded and Regulated Mappings -- 6. Mappings of Bounded Generalized Variation -- Appendix -- References.

Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the modular convergence, whose topology is non-metrizable in general. Metric modular spaces are extensions of metric spaces, metric linear spaces, and classical modular linear spaces. The topics covered include the classification of modulars, metrizability of modular spaces, modular transforms and duality between modular spaces, metric and modular topologies. Applications illustrated in this book include: the description of superposition operators acting in modular spaces, the existence of regular selections of set-valued mappings, new interpretations of spaces of Lipschitzian and absolutely continuous mappings, the existence of solutions to ordinary differential equations in Banach spaces with rapidly varying right-hand sides.

ISBN: 9783319252834$q(electronic bk.)

Standard No.: 10.1007/978-3-319-25283-4doiSubjects--Topical Terms:

186150
Metric spaces.

LC Class. No.: QA611.28

Dewey Class. No.: 514.325

Metric modular spaces
LDR:02330nmm a2200325 a 4500 001 477724
003 DE-He213
005 20160512160235.0
006 m d
007 cr nn 008maaau
008 160614s2015 gw s 0 eng d
020 $a 9783319252834$q(electronic bk.)
020 $a 9783319252810$q(paper)
024 7 $a 10.1007/978-3-319-25283-4 $2 doi
035 $a 978-3-319-25283-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA611.28
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 514.325 $2 23
090 $a QA611.28 $b .C542 2015
100 1 $a Chistyakov, Vyacheslav V. $3 732740
245 1 0 $a Metric modular spaces $h [electronic resource] / $c by Vyacheslav V. Chistyakov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xiii, 137 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 1.Classes of Modulars -- 2. Metrics on Modular Spaces -- 3. Modular Transforms -- 4. Topologies on Modular Spaces -- 5. Bounded and Regulated Mappings -- 6. Mappings of Bounded Generalized Variation -- Appendix -- References.
520 $a Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the modular convergence, whose topology is non-metrizable in general. Metric modular spaces are extensions of metric spaces, metric linear spaces, and classical modular linear spaces. The topics covered include the classification of modulars, metrizability of modular spaces, modular transforms and duality between modular spaces, metric and modular topologies. Applications illustrated in this book include: the description of superposition operators acting in modular spaces, the existence of regular selections of set-valued mappings, new interpretations of spaces of Lipschitzian and absolutely continuous mappings, the existence of solutions to ordinary differential equations in Banach spaces with rapidly varying right-hand sides.
650 0 $a Metric spaces. $3 186150
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Functional Analysis. $3 274845
650 2 4 $a Special Functions. $3 274846
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 558795
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-25283-4
950 $a Mathematics and Statistics (Springer-11649)