Separate weak*-continuity of the triple product in dual real JB*-triples

• DOI: 10.1007/s002090050002
• Publication Date: 2002-08-25T05:57:49Z
• Authors: Juan Mart�nez; Antonio M. Peralta
• Keywords: 0101 mathematics; 01 natural sciences

We prove that, if E is a real JB*-triple having a predual \(E_{*_{}},\) then \(E_{*_{}}\) is the unique predual of E and the triple product on E is separately $\sigma (E,E_{*_{}})-$continuous.