7 citations · 7 across the 7 of their papers we have counts for
7 papers
On positive Banach-Mazur distance
Maciej Korpalski, Grzegorz Plebanek
In this working note we study the one-sided positive Banach-Mazur distance between some pairs of Banach spaces. Building on methods developed in [4], we solve, in particular…
Bounds for Banach-Mazur distances between some -spaces
Maciej Korpalski, Grzegorz Plebanek
We present several results providing lower bounds for the Banach-Mazur distance \[d_{BM}(C(K), C(L))\] between Banach spaces of continuous functions on compact spaces. The main foc…
How many miles from to ?
Maciej Korpalski, Grzegorz Plebanek
The classical Banach spaces and are isomorphic. We present here some lower and upper bounds for their Banach-Mazur distance.
Complemented subspaces of Banach spaces
Grzegorz Plebanek, Jakub Rondoš, Damian Sobota
We prove that, for every compact spaces and compact group , if both and map continuously onto , then the Banach space contains a com…
A survey on topological properties of spaces
Grzegorz Plebanek
Given a compact space , we denote by the space of all Radon probability measures on , equipped with the topology inherited from . For nonmetriza…
The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces
S. Gabriyelyan, J. Kakol, G. Plebanek
Following [3] we say that a Tychonoff space is an Ascoli space if every compact subset of is evenly continuous; this notion is closely related to the cla…
Representations of ideals in Polish groups and in Banach spaces
Piotr Borodulin-Nadzieja, Barnabas Farkas, Grzegorz Plebanek
We investigate ideals of the form is unconditionally convergent , where is a sequence in a Polish group or in a Banach…