Patryk Pagacz

activity

20122025

most citedBetween the von Neumann inequality and the Crouzeix conjecture

3 citations · 11 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.RA2019

The decomposition theorems in Baer $*$ -rings

Zbigniew Burdak, Marek Kosiek, Patryk Pagacz +1

We show a general decomposition theorem in Baer *-rings. As a consequence the vast majority of decompositions known in the algebra of bounded Hilbert space operators are generalize…

math.FA2019★ 3 cited

Between the von Neumann inequality and the Crouzeix conjecture

Patryk Pagacz, Paweł Pietrzycki, Michał Wojtylak

A new concept of a deformed numerical range $W^{ρ} (T)$ is introduced. Here $T$ is a bounded linear operator or a matrix and $ρ \in [1, + \infty)$ is a parameter. Each $W^{ρ} (T)$ is a clos…

The decomposition theorems in Baer ∗-rings

Between the von Neumann inequality and the Crouzeix conjecture

The decomposition theorems in Baer $*$ -rings