1 citations · 2 across the 6 of their papers we have counts for
11 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…
Some remarks on contractive and existence sets
Maciej Ciesielski, Grzegorz Lewicki
Let X be a real or complex Banach space and let F in X be a non-empty set. F is called an existence set of best coapproximation (existence set for brevity), if for any x in X, $R_F…
Admissibility of Frechet spaces
Maciej Ciesielski, Grzegorz Lewicki
The aim of this paper is to to show the admissibility of some class of Frechet spaces (see Definition 2.3). In particular, this generalizes the main results of [3]. As an applicati…
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…
Lower and upper local uniform -monotonicity in symmetric spaces
Maciej Ciesielski
Using the local approach to the global structure of a symmetric space we establish a relationship between strict - monotonicity, lower (resp. upper) local uniform -monoto…
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…
Strict -monotonicity and -order continuity in symmetric spaces
Maciej Ciesielski
This paper is devoted to strict - monotonicity and -order continuity in symmetric spaces. Using the local approach to the geometric structure in a symmetric space we inve…
The Bishop-Phelps-Bollobás property for operators between spaces of continuous functions
Maria Acosta, Julio Becerra, Yun Sung Choi +5
We show that the space of bounded and linear operators between spaces of continuous functions on compact Hausdorff topological spaces has the Bishop-Phelps-Bollobás property. A sim…