The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On M-hyponormal operators”

On unbounded hyponormal operators III

J. Janas (1994)

Studia Mathematica

Similarity:

The paper deals mostly with spectral properties of unbounded hyponormal operators. Some nontrivial examples of such operators are given.

Compact AC-operators

Ian Doust, Byron Walden (1996)

Studia Mathematica

Similarity:

We prove that compact AC-operators have a representation as a combination of disjoint projections which mirrors that for compact normal operators. We also show that unlike arbitrary AC-operators, compact AC-operators admit a unique splitting into real and imaginary parts, and that these parts must necessarily be compact.

n-supercyclic operators

Nathan S. Feldman (2002)

Studia Mathematica

Similarity:

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.

Unitary dilation for polar decompositions of p-hyponormal operators

Muneo Chō, Tadasi Huruya, Kôtarô Tanahashi (2005)

Banach Center Publications

Similarity:

In this paper, we introduce the angular cutting and the generalized polar symbols of a p-hyponormal operator T in the case where U of the polar decomposition T = U|T| is not unitary and study spectral properties of it.