TY - JOUR
T1 - Lifting of kadec-klee properties to symmetric spaces of measurable operators
AU - Dodds, P. G.
AU - Dodds, T. K.
AU - Sukochev, F. A.
PY - 1997/5
Y1 - 1997/5
N2 - We show that if E is a separable symmetric Banach function space on the positive half-line, then E has the Kadec-Klee property (respectively, uniform Kadec-Klee property) for local convergence in measure if and only if, for every semifinite von Neumann algebra (M,τ), the associated space E(M, τ) of τ-measurable operators has the same property.
AB - We show that if E is a separable symmetric Banach function space on the positive half-line, then E has the Kadec-Klee property (respectively, uniform Kadec-Klee property) for local convergence in measure if and only if, for every semifinite von Neumann algebra (M,τ), the associated space E(M, τ) of τ-measurable operators has the same property.
KW - Kadec-klee properties
KW - Measurable operators, submajorization
KW - Rearrangement-invariant spaces
UR - http://www.scopus.com/inward/record.url?scp=33646966662&partnerID=8YFLogxK
U2 - 10.1090/s0002-9939-97-03731-3
DO - 10.1090/s0002-9939-97-03731-3
M3 - Article
AN - SCOPUS:33646966662
SN - 0002-9939
VL - 125
SP - 1457
EP - 1467
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 5
ER -