18 citations · 135 across the 55 of their papers we have counts for
6 papers · 1 filter
Factorisation in stopping-time Banach spaces: identifying unique maximal ideals
Tomasz Kania, Richard Lechner
Stopping-time Banach spaces is a collective term for the class of spaces of eventually null integrable processes that are defined in terms of the behaviour of the stopping times wi…
-complemented, -isomorphic copies of in dual Banach spaces
Dongyang Chen, Tomasz Kania, Yingbin Ruan
The present paper contributes to the ongoing programme of quantification of isomorphic Banach space theory focusing on Pełczyński's classical work on dual Banach spaces containing…
Quantifying shrinking and boundedly complete bases
Dongyang Chen, Tomasz Kania, Yingbin Ruan
We investigate possible quantifications of R. C. James' classical work on bases and reflexivity of Banach spaces. By introducing new quantities measuring how far a basic sequence i…
Unital Banach algebras not isomorphic to Calkin algebras of separable Banach spaces
Bence Horváth, Tomasz Kania
Recent developments in Banach space theory provided unexpected examples of unital Banach algebras that are isomorphic to Calkin algebras of Banach spaces, however no example of a u…
Grothendieck spaces: the landscape and perspectives
Manuel González, Tomasz Kania
In 1973, Diestel published his seminal paper `Grothendieck spaces and vector measures' that drew a connection between Grothendieck spaces (Banach spaces for which weak- and weak*-s…
Quantifying properties () and ()
Dongyang Chen, Tomasz Kania, Yingbin Ruan
A Banach space has \textit{property }, whenever every weak* null sequence in the dual space admits a convex block subsequence so that $\langle f_{n}…