Little Grothendieck`s theorem for real JB*-triples
نویسندگان
چکیده
منابع مشابه
Little 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...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2001
ISSN: 0025-5874
DOI: 10.1007/pl00004878