3 papers
math.FA2021
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…
math.FA2017
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-…
math.FA2011
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…