Maps Completely Preserving Involutions and Maps Completely Preserving Drazin Inverse
Joint Authors
Yao, Hongmei
Hong, Gang
Zheng, Baodong
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-21
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Let X and Y be infinite dimensional Banach spaces over the real or complex field ?, and let ? and ℬ be standard operator algebras on X and Y, respectively.
In this paper, the structures of surjective maps from ? onto ℬ that completely preserve involutions in both directions and that completely preserve Drazin inverse in both direction are determined, respectively.
From the structures of these maps, it is shown that involutions and Drazin inverse are invariants of isomorphism in complete preserver problems.
American Psychological Association (APA)
Yao, Hongmei& Zheng, Baodong& Hong, Gang. 2012. Maps Completely Preserving Involutions and Maps Completely Preserving Drazin Inverse. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-457477
Modern Language Association (MLA)
Yao, Hongmei…[et al.]. Maps Completely Preserving Involutions and Maps Completely Preserving Drazin Inverse. ISRN Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-457477
American Medical Association (AMA)
Yao, Hongmei& Zheng, Baodong& Hong, Gang. Maps Completely Preserving Involutions and Maps Completely Preserving Drazin Inverse. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-457477
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457477