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Automatic continuity of biorthogonality preservers between weakly compact JB-triples and atomic JBW-triples

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Burgos M., Garcés J., Peralta A.

Studia Mathematica

2011

tom 204

nr 2

97-121

We prove that every biorthogonality preserving linear surjection from a weakly compact JB*-triple containing no infinite-dimensional rank-one summands onto another JB*-triple is automatically continuous. We also show that every biorthogonality preserving linear surjection between atomic JBW*-triples containing no infinite-dimensional rank-one summands is automatically continuous. Consequently, two atomic JBW*-triples containing no rank-one summands are isomorphic if and only if there exists a (not necessarily continuous) biorthogonality preserving linear surjection between them.

Ograniczanie wyników

1 Studia Mathematica

1 Burgos M.

1 Garcés J.

1 Peralta A.

1 2011

Wyniki wyszukiwania

Automatic continuity of biorthogonality preservers between weakly compact JB-triples and atomic JBW-triples

Ograniczanie wyników

1 Studia Mathematica

1 Burgos M.

1 Garcés J.

1 Peralta A.

1 2011

Wyniki wyszukiwania

Automatic continuity of biorthogonality preservers between weakly compact JB*-triples and atomic JBW*-triples

Automatic continuity of biorthogonality preservers between weakly compact JB-triples and atomic JBW-triples