In [11], employing the technique of noncommutative interpolation, a maximal ergodic
theorem in noncommutative Lp-spaces, 1< p< infinity, was established and, among other …

The notion of uniform equicontinuity in measure at zero for sequences of additive maps from
a normed space into the space of measurable operators associated with a semifinite von …

In this paper, we establish a multi-parameter version of Bellow and Losert's Wiener–Wintner
type ergodic theorem for dynamical systems not necessarily commutative. More precisely …

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It is known that, for a positive Dunford-Schwartz operator in a noncommutative L p-space,
1≤ p<∞, or, more generally, in a noncommutative Orlicz space with order continuous norm …

We prove non-commutative analogue of Neveu decomposition for actions of locally compact
amenable groups on finite von Neumann algebras. In addition, if we assume G= Z+ or G is a …

In this article, we prove Neveu decomposition for the action of the locally compact amenable
semigroup of positive contractions on semifinite von Neumann algebras and thus, it entirely …

In this article, we consider actions of\mathcal {Z} _+^ d,\mathcal {R} _+^ d and finitely
generated free groups on a von Neumann algebras $ M $ and prove a version of maximal …

We introduce a notion of uniform equicontinuity for sequences of functions with the values in
the space of measurable operators. Then we show that all the implications of the classical …

In this paper, we obtain some noncommutative multiplier theorems and maximal inequalities
on semigroups. As applications, we obtain the corresponding individual ergodic theorems …