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- W2950168348 abstract "Let M be a von Neumann algebra (not necessarily semi-finite). We provide a generalization of the classical Kadec-Pelczynski subsequence decomposition of bounded sequences in L^p[0,1] to the case of the Haagerup L^p-spaces (1le p<infty). In particular, we prove that if (phi_n)_n is a bounded sequence in the predual M_* of M, then there exist a subsequence (phi_{n_k})_k of (phi_n)_n, a decomposition phi_{n_k}= y_k+ z_k such that {y_k, kge 1} is relatively weaklycompact and the support projections s(z_k)downarrow_k 0 (or similarly mutually disjoint). As an application, we prove that every non-reflexive subspace of the dual of any given C*-algebra (or Jordan triples) contains asymptotically isometric copies of l_1 and therefore fails the fixed point property for nonexpansive mappings. These generalize earlier results for the case of preduals of semi-finite von Neumann algebras." @default.
- W2950168348 created "2019-06-27" @default.
- W2950168348 creator A5068059294 @default.
- W2950168348 date "2000-02-02" @default.
- W2950168348 modified "2023-09-27" @default.
- W2950168348 title "Kadec-Pelczynski decomposition for Haagerup L_p-spaces" @default.
- W2950168348 hasPublicationYear "2000" @default.
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