Kadec–Pełczyński decomposition for Haagerup Lp-spaces

Kadec-pe Lczyński Decomposition for Haagerup L-spaces

Let M be a von Neumann algebra (not necessarily semi-finite). We provide a generalization of the classical Kadec-Pe lczynski subsequence decomposition of bounded sequences in L[0, 1] to the case of the Haagerup L-spaces (1 ≤ p < ∞). In particular, we prove that if (φn)n is a bounded sequence in the predual M∗ of M, then there exist a subsequence (φnk)k of (φn)n, a decomposition φnk = yk + zk su...

COMPOSITION OPERATORS ON HAAGERUP L p-SPACES

Building on the ideas in [L1] we indicate how the concept of a composition operator may be extended to the context of Haagerup L p-spaces.

Totally probabilistic Lp spaces

In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative measures and construct the corresponding Lp spaces, for distributions p > "0. It is alsoshown that if the distribution p satises p "1 then, as in the classical case, these spaces are completeprobabilistic normed spaces.

COMPOSITION OPERATORS ON HAAGERUP L p-SPACES

Building on the ideas in [Lab] we indicate how the concept of a composition operator may be extended to the context of Haagerup L p-spaces.

The Haagerup Invariant for Tensor Products of Operator Spaces