Cyclic operads and homology of graph complexes
Markl, Martin
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Markl, Martin
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Froelich, John, Mathes, Ben (1995)
The New York Journal of Mathematics [electronic only]
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Bill Jacob, P. Mammone, R. Aravire (1993)
Mathematische Zeitschrift
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E. Nordgren, M. Radjabalipour, H. Radjavi, P. Rosenthal (1988)
Studia Mathematica
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Aleš Drápal (1985)
Czechoslovak Mathematical Journal
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Arora, S.C., Bala, Pawan (1992)
International Journal of Mathematics and Mathematical Sciences
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Béla Nagy (2013)
Studia Mathematica
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Two characterizations of the reductivity of a cyclic normal operator in Hilbert space are proved: the equality of the sets of cyclic and *-cyclic vectors, and the equality L²(μ) = P²(μ) for every measure μ equivalent to the scalar-valued spectral measure of the operator. A cyclic subnormal operator is reductive if and only if the first condition is satisfied. Several consequences are also presented.