Geodesic
Fuglede-type decompositions of representations
Marek Kosiek1
1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Studia Mathematica, Tome 151 (2002) no. 1, pp. 87-98

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm151-1-6
Keywords: shown reducing bands measures yield decompositions only operator representation itself its commutant has many consequences commuting hilbert space representations commuting operators hilbert spaces among other things enables construct lebesgue type decomposition several commuting contractions without assuming von neumann type inequality

Marek Kosiek 1

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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Marek Kosiek. Fuglede-type decompositions of representations. Studia Mathematica, Tome 151 (2002) no. 1, pp. 87-98. doi: 10.4064/sm151-1-6

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