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

Linked to FindBook

Google Book

Amazon

博客來

Operator space tensor norms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Operator space tensor norms / by Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer.
Author:	Chávez-Domínguez, Javier Alejandro.
other author:	Dimant, Verónica.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xv, 189 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1. Preliminaries -- Chapter 2. Introduction to operator space tensor norms -- Chapter 3. Finite and cofinite hulls -- Chapter 4. The five basic lemmas -- Chapter 5. Dual operator space tensor norms -- Chapter 6. The completely bounded approximation property -- Chapter 7. Mapping ideals -- Chapter 8. Maximal operator space mapping ideals -- Chapter 9. Minimal operator space mapping ideals -- Chapter 10. Completely projective/injective tensor norms -- Chapter 11. Injective/projective hulls and accessibility -- Chapter 12. Natural operator space tensor norms -- Chapter 13. Conclusions and some open questions.
Contained By:	Springer Nature eBook
Subject:	Tensor algebra. -
Online resource:	https://doi.org/10.1007/978-3-031-96209-7
ISBN:	9783031962097

Operator space tensor norms
Chávez-Domínguez, Javier Alejandro.

Operator space tensor norms [electronic resource] /by Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer. - Cham :Springer Nature Switzerland :2025. - xv, 189 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23791617-9692 ;. - Lecture notes in mathematics ;v. 2379..

Chapter 1. Preliminaries -- Chapter 2. Introduction to operator space tensor norms -- Chapter 3. Finite and cofinite hulls -- Chapter 4. The five basic lemmas -- Chapter 5. Dual operator space tensor norms -- Chapter 6. The completely bounded approximation property -- Chapter 7. Mapping ideals -- Chapter 8. Maximal operator space mapping ideals -- Chapter 9. Minimal operator space mapping ideals -- Chapter 10. Completely projective/injective tensor norms -- Chapter 11. Injective/projective hulls and accessibility -- Chapter 12. Natural operator space tensor norms -- Chapter 13. Conclusions and some open questions.

This book provides a comprehensive introduction to the systematic theory of tensor products and tensor norms within the framework of operator spaces. The use of tensor products has significantly advanced functional analysis and other areas of mathematics and physics, and the field of operator spaces is no exception. Building on the theory of tensor products in Banach spaces, this work adapts the definitions and results to the operator space context. This approach goes beyond a mere translation of existing results. It introduces new insights, techniques, and hypotheses to address the many challenges of the non-commutative setting, revealing several notable differences to the classical theory. This text is expected to be a valuable resource for researchers and advanced students in functional analysis, operator theory, and related fields, offering new perspectives for both the mathematics and physics communities. By presenting several open problems, it also serves as a potential source for further research, particularly for those working in operator spaces or operator algebras.

ISBN: 9783031962097

Standard No.: 10.1007/978-3-031-96209-7doiSubjects--Topical Terms:

765822
Tensor algebra.

LC Class. No.: QA200

Dewey Class. No.: 512.57

Operator space tensor norms
LDR:02781nmm a2200337 a 4500 001 2414912
003 DE-He213
005 20250926130643.0
006 m d
007 cr nn 008maaau
008 260205s2025 sz s 0 eng d
020 $a 9783031962097 $q (electronic bk.)
020 $a 9783031962080 $q (paper)
024 7 $a 10.1007/978-3-031-96209-7 $2 doi
035 $a 978-3-031-96209-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA200
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 512.57 $2 23
090 $a QA200 $b .C564 2025
100 1 $a Chávez-Domínguez, Javier Alejandro. $3 3791932
245 1 0 $a Operator space tensor norms $h [electronic resource] / $c by Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xv, 189 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2379
505 0 $a Chapter 1. Preliminaries -- Chapter 2. Introduction to operator space tensor norms -- Chapter 3. Finite and cofinite hulls -- Chapter 4. The five basic lemmas -- Chapter 5. Dual operator space tensor norms -- Chapter 6. The completely bounded approximation property -- Chapter 7. Mapping ideals -- Chapter 8. Maximal operator space mapping ideals -- Chapter 9. Minimal operator space mapping ideals -- Chapter 10. Completely projective/injective tensor norms -- Chapter 11. Injective/projective hulls and accessibility -- Chapter 12. Natural operator space tensor norms -- Chapter 13. Conclusions and some open questions.
520 $a This book provides a comprehensive introduction to the systematic theory of tensor products and tensor norms within the framework of operator spaces. The use of tensor products has significantly advanced functional analysis and other areas of mathematics and physics, and the field of operator spaces is no exception. Building on the theory of tensor products in Banach spaces, this work adapts the definitions and results to the operator space context. This approach goes beyond a mere translation of existing results. It introduces new insights, techniques, and hypotheses to address the many challenges of the non-commutative setting, revealing several notable differences to the classical theory. This text is expected to be a valuable resource for researchers and advanced students in functional analysis, operator theory, and related fields, offering new perspectives for both the mathematics and physics communities. By presenting several open problems, it also serves as a potential source for further research, particularly for those working in operator spaces or operator algebras.
650 0 $a Tensor algebra. $3 765822
650 0 $a Tensor products. $3 711438
650 1 4 $a Operator Theory. $3 897311
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Dimant, Verónica. $3 3791933
700 1 $a Galicer, Daniel. $3 3791934
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v. 2379. $3 3791935
856 4 0 $u https://doi.org/10.1007/978-3-031-96209-7
950 $a Mathematics and Statistics (SpringerNature-11649)