4 citations · 8 across the 12 of their papers we have counts for
15 papers · 1 filter
Geometric duality, perfect graphs, and the Sierpiński space
Piotr Borodulin-Nadzieja, Barnabás Farkas, Anna Pelczar-Barwacz
In their classical paper \emph{On the stopping time Banach space}, Bang and Odell, among a plethora of results concerning the dyadic stopping time space and its dual, presented the…
Banach spaces with arbitrary finite Baire order
Anna Pelczar-Barwacz, Zdeněk Silber, Tomasz Wawrzycki
We investigate intrinsic Baire classes of Banach spaces defined by Argyros, Godefroy and Rosenthal (2003). We introduce a construction, for any Banach space with a basis, of an…
The ZOO of combinatorial Banach spaces
Piotr Borodulin-Nadzieja, Barnabás Farkas, Sebastian Jachimek +1
We study Banach spaces induced by families of finite sets in the most natural (Schreier-like) way, that is, we consider the completion $X_\mc{F}$ of with respect to the no…
Equivalence of block sequences in Schreier spaces and their duals
R. M. Causey, A. Pelczar-Barwacz
We prove that any normalized block sequence in a Schreier space , of arbitrary order , admits a subsequence equivalent to a subsequence of the canonical basis of some S…
An example of a reflexive Banach space with an uncomplemented isometric subspace
Anna Pelczar-Barwacz
We present an example of a reflexive Banach space with a basis 1-equivalent to its subsequence . The closed subspace of spanned…
A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X)
Anna Pelczar-Barwacz
We construct a Banach space X of Gowers-Maurey type such that the algebra of bounded operators L(X) is a direct sum of an infinite dimensional reflexive Banach space and the operat…
On the spaces dual to combinatorial Banach spaces
Piotr Borodulin-Nadzieja, Sebastian Jachimek, Anna Pelczar-Barwacz
We present quasi-Banach spaces which are closely related to the duals of combinatorial Banach spaces. More precisely, for a compact family of finite subsets of we…
Small operator ideals on the Schlumprecht and Schreier spaces
Antonis Manoussakis, Anna Pelczar-Barwacz
We present a method of building operators on a Banach space that generate distinct operator ideals in the algebra of bounded linear operators on . We show t…
Unconditionally saturated Banach space with the scalar-plus-compact property
Antonis Manoussakis, Anna Pelczar-Barwacz, Michał Świȩtek
We construct a Bourgain-Delbaen -space with strongly heterogenous structure: any bounded operator on is a compact pert…
Operators in tight by support Banach spaces
Antonis Manoussakis, Anna Pelczar-Barwacz
We answer the question of W.T. Gowers, giving an example of a bounded operator on a subspace of Gowers unconditional space which is not a strictly singular perturbation of a restri…
Types of tightness in spaces with unconditional basis
A. Manoussakis, A. Pelczar-Barwacz
We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers…
A type (4) space in (FR)-classification
Spiros A. Argyros, Antonis Manoussakis, Anna Pelczar-Barwacz
We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers…
Strictly singular non-compact operators on a class of HI spaces
Antonis Manoussakis, Anna Pelczar-Barwacz
We present a method for constructing bounded strictly singular non-compact operators on mixed Tsirelson spaces defined either by the families (A_n) or (S_n) of a certain class, as…
Strictly singular operators in asymptotic Banach spaces
Anna Pelczar-Barwacz
We present condition on higher order asymptotic behaviour of basic sequences in a Banach space ensuring the existence of bounded non-compact strictly singular operator on a subspac…
Isomorphisms and strictly singular operators in mixed Tsirelson spaces
Denka Kutzarova, Antonis Manoussakis, Anna Pelczar-Barwacz
We study the family of isomorphisms and strictly singular operators in mixed Tsirelson spaces and their modified versions setting. We show sequential minimality of modified mixed T…