T. Kochanek

activity

20122019

collaborators

7 papers

math.OA2019

Approximately order zero maps between C*-algebras

Tomasz Kochanek

We investigate linear operators between C $^{*}$ -algebras which approximately preserve involution and orthogonality, the latter meaning that for some $ε > 0$ we have $\|ϕ(x…

math.CA2017

Approximate homomorphisms on lattices

Roman Badora, Tomasz Kochanek, Barbara Przebieracz

We prove two results concerning an Ulam-type stability problem for homomorphisms between lattices. One of them involves estimates by quite general error functions; the other deals…

math.FA2016

The Szlenk power type and tensor products of Banach spaces

Szymon Draga, Tomasz Kochanek

We prove a formula for the Szlenk power type of the injective tensor product of Banach spaces with Szlenk index at most $ω$ . We also show that the Szlenk power type as well as summ…

math.FA2012

Characterisation of $L_{p}$ -norms via Hölder's inequality

Tomasz Kochanek, Michał Lewicki

We characterise $L_{p}$ -norms on the space of integrable step functions, defined on a probabilistic space, via Hölder's type inequality with an optimality condition.

math.CA2012

Almost orthogonally additive functions

Tomasz Kochanek, Wirginia Wyrobek-Kochanek

If a function $f$ , acting on a Euclidean space $R^{n}$ , is "almost" orthogonally additive in the sense that $f (x + y) = f (x) + f (y)$ for all $(x, y) \in ⊥ ∖ Z$ , where $Z$ i…