4 papers
Finite-codimensional subspaces of Daugavet spaces: projection constants and minimal projections
Tomasz Kania, Grzegorz Lewicki
Over the real or complex field, we establish a duality formula for projection constants of finite-codimensional subspaces of Banach spaces with the Daugavet property. If \[ Y=\bigc…
Semiprojective Banach lattices
Tomasz Kania, Mariusz Niwiński
We introduce a norm-controlled notion of semiprojectivity for Banach lattices, requiring liftability of contractive lattice homomorphisms through inductive limits of closed ideals…
Bourgain-uo sequential completeness in vector lattices
Tomasz Kania, Jarosław Swaczyna
We revisit Bourgain's 1981 counterexample to the sequential completeness of the `pointwise plus domination' convergence on from the perspective of vector lattices. In this…
The -property of a Banach space along a filter
Tomasz Kania, Jarosław Swaczyna
We examine the analyticity of the class of separable Banach spaces possessing the -property, defined in terms of convergence along a filter. Our results establish that this clas…