1 citations · 1 across the 4 of their papers we have counts for
4 papers
A short proof of some recent results related to Ces{à}ro function spaces
Sergey V. Astashkin, Lech Maligranda
We give a short proof of the recent results that, for every the Ces{à}ro function space is not a dual space, has the weak Banach-Saks property and doe…
Interpolation of Ces{à}ro sequence and function spaces
Sergey V. Astashkin, Lech Maligranda
The interpolation property of Ces{à}ro sequence and function spaces is investigated. It is shown that is an interpolation space between and …
New examples of K-monotone weighted Banach couples
Sergey V. Astashkin, Lech Maligranda, Konstantin E. Tikhomirov
Some new examples of K-monotone couples of the type (X, X(w)), where X is a symmetric space on [0, 1] and w is a weight on [0, 1], are presented. Based on the property of the w-dec…
Kruglov operator and operators defined by random permutations
S. V. Astashkin, D. V. Zanin, E. M. Semenov +1
The Kruglov property and the Kruglov operator play an important role in the study of geometric properties of r.i. function spaces. We prove that the boundedness of the Kruglov oper…