Characterizations of tripotents in JB^*-triples
- Autores: R. V. Hugli
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 99, Nº 1, 2006, págs. 147-160
- Idioma: inglés
- Enlaces
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Resumen
The set U(A) of tripotents in a JB∗-triple A is characterized in various ways. Some of the characterizations use only the norm-structure of A. The partial order on U(A) as well as σ-finiteness of tripotents are described intrinsically in terms of the facial structure of the unit ball A1 in A, i.e. without reference to the (pre-)dual of A. This extends similar results obtained in [6] and simplifies the metric characterization of partial isometries in C∗-algebras found in [1](cf. [8].
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