Characterizations of tripotents in JB*-triples
نویسندگان
چکیده
منابع مشابه
On 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.
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We study the natural partial ordering in the set of all tripotents of a real JB∗-triple. We prove some characterizations of real-minimal tripotents and an atomic deocmpostion theorem for real JBW∗-triples is given.
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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...
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In the last twenty years, a theory of real Jordan triples has been developed. In 1994 T. Dang and B. Russo introduced the concept of J∗B–triple. These J∗B–triples include real C∗–algebras and complex JB∗–triples. However, concerning J∗B–triples, an important problem was left open. Indeed, the question was whether the complexification of a J∗B–triple is a complex JB∗–triple in some norm extendin...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2006
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-15005