國立高雄大學圖資館 |

登入

回首頁

Operator space tensor norms

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Operator space tensor norms by Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer.
作者:	Chávez-Domínguez, Javier Alejandro.
其他作者:	Dimant, Verónica.
出版者:	Cham :Springer Nature Switzerland :2025.
面頁冊數:	xv, 189 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Tensor algebra.
電子資源:	https://doi.org/10.1007/978-3-031-96209-7
ISBN:	9783031962097$q(electronic bk.)

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 ;2035..

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$q(electronic bk.)

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

348467
Tensor algebra.

LC Class. No.: QA200

Dewey Class. No.: 512.57

Operator space tensor norms
LDR:02782nmm a2200337 a 4500 001 688768
003 DE-He213
005 20250926130643.0
006 m d
007 cr nn 008maaau
008 260318s2025 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 1004003
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 348467
650 0 $a Tensor products. $3 349010
650 1 4 $a Operator Theory. $3 274795
650 2 4 $a Functional Analysis. $3 274845
700 1 $a Dimant, Verónica. $3 1004004
700 1 $a Galicer, Daniel. $3 1004005
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u https://doi.org/10.1007/978-3-031-96209-7
950 $a Mathematics and Statistics (SpringerNature-11649)