on the geometry of the unit ball of a jb*-triple
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ID: 236072
2013
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Abstract
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.
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tahlawi2013abstracton
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| Authors | ;Haifa M. Tahlawi;Akhlaq A. Siddiqui;Fatmah B. Jamjoom |
| Journal | science and technology of advanced materials |
| Year | 2013 |
| DOI |
10.1155/2013/891249
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