Subnormal operators, cyclic vectors and reductivity

• Autorzy: Béla Nagy
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 216
• Numer: 2
• Strony: 97-109

Daty

wydano

2013

Twórcy

autor

Béla Nagy

• Department of Analysis, Institute of Mathematics, Budapest University of Technology and Economics, H-1516 Budapest, Hungary

Identyfikatory

DOI

10.4064/sm216-2-1