Tomasz Kania

activity

20112026

most citedUniqueness of the maximal ideal of the Banach algebra of bounded operators on

C ([0, ω_{1}])

18 citations · 135 across the 55 of their papers we have counts for

collaborators

Showing 2015Show all

4 papers · 1 filter

math.FA2015

The trace as an average over the unit sphere of a normed space with a 1-symmetric basis

Tomasz Kania, Kent E. Morrison

We generalise the formula expressing the matrix trace of a given square matrix as the integral of the numerical values of $A$ over the Euclidean sphere to the unit spheres of finit…

math.FA2015

Ideal structure of the algebra of bounded operators acting on a Banach space

Tomasz Kania, Niels Jakob Laustsen

We construct a Banach space $Z$ such that the lattice of closed two-sided ideals of the Banach algebra $B (Z)$ of bounded operators on $Z$ is as follows: $$ \{0\}\subset \…

math.FA2015★ 7 cited

Uncountable sets of unit vectors that are separated by more than 1

Tomasz Kania, Tomasz Kochanek

Let $X$ be a Banach space. We study the circumstances under which there exists an uncountable set $A \subset X$ of unit vectors such that $∥ x - y ∥ > 1$ for distinct $x,y\in \…

math.FA2015★ 12 cited

Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support

William B. Johnson, Tomasz Kania, Gideon Schechtman

Let $λ$ be an infinite cardinal number and let $ℓ_{\infty}^{c} (λ)$ denote the subspace of $ℓ_{\infty} (λ)$ consisting of all functions that assume at most countably many non-zero va…