3 citations · 4 across the 7 of their papers we have counts for
7 papers
Corona Theorem
Marek Kosiek, Krzysztof Rudol
For a wide class of domains including balls and polydisks we prove the density of their canonical image in the spectrum of . This Corona Theorem…
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…
Gleason parts of bidual algebras
Marek Kosiek, Krzysztof Rudol
It is shown that the embeding of any Gleason part of a uniform algebra into the spectrum of its second dual is an entire Gleason part. This result is based on the equality of weak-…
Invariant subspaces of and preserving compatibility
Zbigniew Burdak, Marek Kosiek, Patryk Pagacz +1
Operators of multiplication by independent variables on the space of square summable functions over the torus and its Hardy subspace are considered. Invariant subspaces where the o…
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…
A disintegration theorem
Marek Kosiek, Krzysztof Rudol
A new approach to disintegration of measures is presented, allowing one to drop the usually taken separability assumption. The main tool is a result on fibers in the spectrum of al…
Fibers of algebra
Marek Kosiek
It is shown that Gelfand transforms of elements $f\in\lmu$ are constant at almost every fiber of the spectrum of $\lmu$ in the following sense: for each $f\in\lmu$…