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Displaying similar documents to “Using theCcomputer to Investigate Cyclic Steiner Quadruple Systems”

Subnormal operators, cyclic vectors and reductivity

Béla Nagy (2013)

Studia Mathematica

Similarity:

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.