Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measures of weak non-compactness in preduals of von Neumann algebras and
  JBW$^*$-triples   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.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph