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

By J. C. Martínez, Antonio M. Peralta. 2000

52 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/904099069546c4d75bdb031a630bc76b8fc0ac5d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. B. Russo
2. Á. Palacios
3. Abraham Rueda Zoca
4. Antonio M. Peralta

In Mathematical Physics

1. B. Russo
2. Á. Palacios
3. Abraham Rueda Zoca
4. Antonio M. Peralta

Citations in the corpus

• Octahedral norms and convex combination of slices in Banach spaces (2013, background): “ed as those real JB∗-triples which are dual Banach spaces in such a way that the triple product becomes separately w∗-continuous (see [11, Definition 4.1 and Theorem 4.4]). Later, it has been shown in [13] that the requirement of separate w∗-continuity of the triple product is superabundant. The bidu”
• Automatic continuity of derivations on C*-algebras and JB*-triples (2012, background): “, real) JB∗-triple which is also a dual Banach space (with a unique isometric predual [4, 39]).”
• Grothendieck's Inequalities for Real and Complex JBW*‐Triples (2001, background): “As in the complex case, the triple product of every real JBW -triple is separately weak -continuous [25], and the bidual E of a real JB -triple E is a real JBW -triple whose triple product extends that of E [19].”