Details

Autor(en) / Beteiligte

• Hamhalter, Jan
• Kalenda, Ondřej F.K.
• Peralta, Antonio M.
• Pfitzner, Hermann

Titel

Measures of weak non-compactness in preduals of von Neumann algebras and JBW⁎-triples

Ist Teil von

• Journal of functional analysis, 2020-01, Vol.278 (1), p.108300, Article 108300

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2020

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We prove, among other results, that three standard measures of weak non-compactness coincide in preduals of JBW⁎-triples. This result is new even for preduals of von Neumann algebras. We further provide a characterization of JBW⁎-triples with strongly WCG predual and describe the order of seminorms defining the strong⁎ topology. As a byproduct we improve a characterization of weakly compact subsets of a JBW⁎-triple predual, providing so a proof for a conjecture, open for almost eighteen years, on weakly compact operators from a JB⁎-triple into a complex Banach space.