1 citations · 1 across the 2 of their papers we have counts for
7 papers
Substochastic operators in symmetric spaces
Maciej Ciesielski, Grzegorz Lewicki
First, we solve a crucial problem under which conditions increasing uniform K-monotonicity is equivalent to lower locally uniform K-monotonicity. Next, we investigate properties of…
On some modifications of n-th von Neumann-Jordan constant for banach spaces
Maciej Ciesielski, Ryszard Płuciennik
There are discussed some modifications of n-th von Neumann-Jordan constant considered by M. Kato, Y. Takahashi and K. Hashimoto. We study, among others, upper, lower, upper modifie…
Sequence Lorentz spaces and their geometric structure
Maciej Ciesielski, Grzegorz Lewicki
This article is dedicated to geometric structure of the Lorentz and Marcinkiewicz spaces in case of the pure atomic measure. We study complete criteria for order continuity, the Fa…
ON a certain class of norms in semimodular spaces and their monotonicity properties
Maciej Ciesielski, Grzegorz Lewicki
Let X be a linear space over K, K=R or K=C and let for n>1 ρ_i be s-convex semimodular defined on X for any i\in{1,...,n-1}. Put ρ=\max_{1\leq i \leq n-1}\{ρ_i\} and X_ρ= { x \in X…
Relationships between K-monotonicity and rotundity properties with application
Maciej Ciesielski
In this paper we investigate a relationship between fully k-rotundity properties, uniform K-monotonicity properties, reflexivity and K-order continuity in a symmetric spaces E. We…
Best approximation properties in spaces of measurable functions
Maciej Ciesielski, Grzegorz Lewicki
We research proximinality of -sequentially compact sets and -compact sets in measurable function spaces. Next we show a correspondence between the Kadec-Klee property for con…