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The Dunford–Pettis property in Jb*‐Triples
Author(s) -
Chu C.H.,
Mellon P.
Publication year - 1997
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s002461079700522x
Subject(s) - bijection, injection and surjection , mathematics , bounded function , product (mathematics) , property (philosophy) , pure mathematics , combinatorics , mathematical analysis , bijection , geometry , philosophy , epistemology
JB*‐triples occur in the study of bounded symmetric domains in several complex variables and in the study of contractive projections on C*‐algebras. These spaces are equipped with a ternary product {·,·,·}, the Jordan triple product , and are essentially geometric objects in that the linear isometries between them are exactly the linear bijections preserving the Jordan triple product (cf. [ 23 ]).