Hilbert and Thompson isometries on cones in JB-algebras
نویسندگان
چکیده
منابع مشابه
Isometries on Quasi–normed Cones and Bicompletion
We show that every quasi–norm p on a (real) cancellative cone X induces in a natural way an extended quasi–metric ep on X for which (X, ep) is an extended quasi–metric cone. We prove that the structure of a quasi– normed cone is preserved by bicompletion, under bijective isometries. In fact, we observe that isometries are not necessarily injective in this setting. Some illustrative examples are...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2018
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-018-2144-8