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Subjects
47-XX Operator theory
47Bxx Special classes of linear operators
47B20 Subnormal operators, hyponormal operators, etc.

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Displaying 1 – 5 of 5

N Congruency of Operators

S. M. Patel (1983)

Publications de l'Institut Mathématique

Nearly equivalent operators

Sadoon Ibrahim Othman (1996)

Mathematica Bohemica

The properties of the bounded linear operators $T$ on a Hilbert space which satisfy the condition $T T^{*} = U^{*} T^{*} T U$ where $U$ is unitary, are studied in relation to those of normal, hyponormal, quasinormal and subnormal operators.

Norm of a derivation and hyponormal operators.

Mohamed Barraa, Mohamed Boumazgour (2001)

Extracta Mathematicae

Normal extensions of commutative subnormal operators

Marek Słociński (1976)

Studia Mathematica

n-supercyclic operators

Nathan S. Feldman (2002)

Studia Mathematica

We show that there are linear operators on Hilbert space that have n-dimensional subspaces with dense orbit, but no (n-1)-dimensional subspaces with dense orbit. This leads to a new class of operators, called the n-supercyclic operators. We show that many cohyponormal operators are n-supercyclic. Furthermore, we prove that for an n-supercyclic operator, there are n circles centered at the origin such that every component of the spectrum must intersect one of these circles.

Currently displaying 1 – 5 of 5

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