3 papers
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…
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.FA2012
On the unitary part of isometries in commuting, completely non doubly commuting pairs
Zbigniew Burdak, Marek Kosiek, Marek Słociński
There are considered isometries on a Hilbert space. By the Wold theorem any isometry can be decomposed into a unitary operator and a unilateral shift. For a pair of isometries, eve…