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.
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.
Kjeld Bagger Laursen, Michael M. Neumann (1993)
Czechoslovak Mathematical Journal
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J. Janas (1984)
Annales Polonici Mathematici
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Charles E. Cleaver (1973)
Compositio Mathematica
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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.
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.
Duggal, B.P. (2005)
International Journal of Mathematics and Mathematical Sciences
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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.