On M-hyponormal operators

Che-Kao Fong

Displaying similar documents to “On M-hyponormal operators”

On unbounded hyponormal operators III

J. Janas (1994)

Studia Mathematica

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

Asymptotic intertwining and spectral inclusions on Banach spaces

Kjeld Bagger Laursen, Michael M. Neumann (1993)

Czechoslovak Mathematical Journal

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Spectral properties of doubly commuting hyponormal operators

J. Janas (1984)

Annales Polonici Mathematici

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A characterization of spectral operators of finite type

Charles E. Cleaver (1973)

Compositio Mathematica

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Compact AC-operators

Ian Doust, Byron Walden (1996)

Studia Mathematica

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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

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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.

Subspace gaps and Weyl's theorem for an elementary operator.

Duggal, B.P. (2005)

International Journal of Mathematics and Mathematical Sciences

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Unitary dilation for polar decompositions of p-hyponormal operators

Muneo Chō, Tadasi Huruya, Kôtarô Tanahashi (2005)

Banach Center Publications

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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.