Fuglede-type decompositions of representations

• Autorzy: Marek Kosiek
• Języki publikacji: EN

Abstrakty

EN

It is shown that reducing bands of measures yield decompositions not only of an operator representation itself, but also of its commutant. This has many consequences for commuting Hilbert space representations and for commuting operators on Hilbert spaces. Among other things, it enables one to construct a Lebesgue-type decomposition of several commuting contractions without assuming any von Neumann-type inequality.

Kategorie tematyczne

• 46J10: Banach algebras of continuous functions, function algebras
• 46J25: Representations of commutative topological algebras
• 47A15: Invariant subspaces
• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 151
• Numer: 1
• Strony: 87-98

Daty

wydano

2002

Twórcy

autor

Marek Kosiek

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/sm151-1-6