P. Koszmider

activity

20082026

most citedThin-very tall compact scattered spaces which are hereditarily separable

19 citations · 125 across the 36 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.FA2020

On the existence of overcomplete sets in some classical nonseparable Banach spaces

Piotr Koszmider

For a Banach space $X$ its subset $Y \subseteq X$ is called overcomplete if $∣ Y ∣ = d e n s (X)$ and $Z$ is linearly dense in $X$ for every $Z \subseteq Y$ with $∣ Z ∣ = ∣ Y ∣$ . In the context of…

math.OA2020★ 3 cited

A non-diagonalizable pure state

Piotr Koszmider

We construct a pure state on the C*-algebra $B (ℓ_{2})$ of all bounded linear operators on $ℓ_{2}$ which is not diagonalizable, i.e., it is not of the form $\lim_u\langle…

math.FA2020

A Banach space induced by an almost disjoint family, admitting only few operators and decompositions

Piotr Koszmider, Niels Jakob Laustsen

We consider the closed subspace of $ℓ_{\infty}$ generated by $c_{0}$ and the characteristic functions of elements of an uncountable, almost disjoint family $A$ of infinite…