Displaying similar documents to “Cyclic structures of geometric objects involving a connection and Lie derivatives”

Subnormal operators, cyclic vectors and reductivity

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.

On Leibniz algebras with maximal cyclic subalgebras

Vasiliy A. Chupordia, Leonid A. Kurdachenko, Igor Ya. Subbotin (2022)

Commentationes Mathematicae Universitatis Carolinae

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We begin to study the structure of Leibniz algebras having maximal cyclic subalgebras.