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On the Geometry of the Unit Ball of a JB*-Triple
Joint Authors
Tahlawi, Haifa M.
Jamjoom, Fatmah B.
Siddiqui, Akhlaq A.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We explore a JB*-triple analogue of the notion of quasi invertible elements, originally studied by Brown and Pedersen in the setting of C*-algebras.
This class of BP-quasi invertible elements properly includes all invertible elements and all extreme points of the unit ball and is properly included in von Neumann regular elements in a JB*-triple; this indicates their structural richness.
We initiate a study of the unit ball of a JB*-triple investigating some structural properties of the BP-quasi invertible elements; here and in sequent papers, we show that various results on unitary convex decompositions and regular approximations can be extended to the setting of BP-quasi invertible elements.
Some C*-algebra and JB*-algebra results, due to Kadison and Pedersen, Rørdam, Brown, Wright and Youngson, and Siddiqui, including the Russo-Dye theorem, are extended to JB*-triples.
American Psychological Association (APA)
Tahlawi, Haifa M.& Siddiqui, Akhlaq A.& Jamjoom, Fatmah B.. 2013. On the Geometry of the Unit Ball of a JB*-Triple. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-505811
Modern Language Association (MLA)
Tahlawi, Haifa M.…[et al.]. On the Geometry of the Unit Ball of a JB*-Triple. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-505811
American Medical Association (AMA)
Tahlawi, Haifa M.& Siddiqui, Akhlaq A.& Jamjoom, Fatmah B.. On the Geometry of the Unit Ball of a JB*-Triple. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-505811
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505811