It is shown that if a symmetric Banach space E on the positive semi-axis is p-convex (q-
concave) then so is the corresponding non-commutative symmetric space E (τ) of τ …

We fully characterize noncommutative symmetric spaces $ E (\mathcal {M},\tau) $ affiliated
with a semifinite von Neumann algebra $\mathcal {M} $ equipped with a faithful normal …

We show that every $\ell _2 $-strictly singular operator on the predual of any atomless
hyperfinite finite von Neumann algebra $\mathcal {M} $ is Dunford–Pettis, which extends a …

We study Banach-Saks properties in symmetric spaces of measurable operators. A principal
result shows that if the symmetric Banach function space E on the positive semiaxis with the …

NON-ISOMORPHISM OF Lp-SPACES ASSOCIATED WITH FINITE AND INFINITE VON
NEUMANN ALGEBRAS 0. Introduction The basic question conside Page 1 PROCEEDINGS …

The primary objective of this paper is to study the problem concerning isomorphic
embeddings of ideals of compact operators due to Arazy (see [5, Problem C] and [6 …

Let\mathcal MM be a semifinite von Neumann algebra with a faithful semifinite normal trace
τ τ. We show that the symmetrically Δ Δ-normed operator space E (\mathcal M, τ) E (M, τ) …

Let (M m) m≥ 0 be an arbitrary filtration in a (non-commutative) probability space (M, τ). Let
L 1 (M, τ) be the predual of M. For m≥ 0, we denote by EM m the conditional expectation …

This is a survey article of geometric properties of noncommutative symmetric spaces of
measurable operators $ E (\mathcal {M},\tau) $, where $\mathcal {M} $ is a semifinite von …

We prove that the sequence space $\ell_ {p, q} $ does not embed into $ L_ {p, q}(\mathcal
{M},\tau) $ for any noncommutative probability space $(\mathcal {M},\tau) $, $1< p<\infty …