From the 1 of 3 linked papers with an AI index.
3 papers
math.FA2026
On the diversity of twisted commuting operators
Zbigniew Burdak
The paper studies pairs of operators whose failure to commute is governed by a fixed unitary “twist”, showing that certain operators (e.g., projections and bounded‑below operators…
math.SP2024
The Taylor spectrum of pairs of isometries
Zbigniew Burdak, Patryk Pagacz
In the paper we fully describe Taylor spectrum of pairs of isometries given by diagrams. In most cases both isometries in such pairs have non-trivial shift part and its Taylor spec…
math.PR2024
An operator theory approach to the evanescent part of a two-parametric weak-stationary stochastic process
Zbigniew Burdak, Marek Kosiek, Patryk Pagacz +1
A new approach to the evanescent part of a two-dimensional weak-stationary stochastic process with the past given by a half-plane is proceed. The classical result due to Helson and…