منابع مشابه
Closed Tripotents and Weak Compactness in the Dual Space of a Jb*-triple
We revise the concept of compact tripotent in the bidual space of a JB*-triple. This concept was introduced by Edwards and Rüttimann generalizing the ideas developed by Akemann for compact projections in the bidual of a C*-algebra. We also obtain some characterizations of weak compactness in the dual space of a JC*-triple, showing that a bounded subset in the dual space of a JC*-triple is relat...
متن کاملOn summing operators on JB * - triples
In this paper we introduce 2-JB*-triple-summing operators on real and complex JB*-triples. These operators generalize 2-C*-summing operators on C*-algebras. We also obtain a Pietsch’s factorization theorem in the setting of 2-JB*-triple-summing operators on JB*-triples.
متن کاملLittle Grothendieck’s theorem for real JB*-triples
We prove that given a real JB*-triple E, and a real Hilbert space H , then the set of those bounded linear operators T from E toH , such that there exists a norm one functionalφ ∈ E∗ and corresponding pre-Hilbertian semi-norm ‖.‖φ on E such that ‖T (x)‖ ≤ 4 √ 2‖T‖ ‖x‖φ for all x ∈ E, is norm dense in the set of all bounded linear operators from E toH . As a tool for the above result, we show th...
متن کاملSeparate weak * - continuity of the triple product in dual real JB * - triples
We prove that, ifE is a real JB*-triple having a predualE∗ , then E∗ is the unique predual of E and the triple product on E is separately σ(E,E∗)−continuous. Mathematics Subject Classification (1991):17C65, 46K70, 46L05, 46L10, 46L70
متن کاملA Saitô–tomita–lusin Theorem for Jb∗-triples and Applications
A theorem of Lusin is proved in the non-ordered context of JB∗-triples. This is applied to obtain versions of a general transitivity theorem and to deduce refinements of facial structure in closed unit ballls of JB∗-triples and duals.
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 1996
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004100074740