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http://dx.doi.org/10.4134/BKMS.2003.40.4.685

PROPERTIES OF A κTH ROOT OF A HYPONORMAL OPERATOR  

Ko, Eun-Gil (Department of Mathematics, Ewha Women’s University)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.4, 2003 , pp. 685-692 More about this Journal
Abstract
In this paper, we study some properties of (equation omitted) (defined below). In particular we show that an operator T $\in$(equation omitted) satisfying the translation invariant property is hyponormal and an invertible operator T $\in$ (equation omitted) and its inverse T$^{-1}$ have a common nontrivial invariant closed set. Also we study some cases which have nontrivial invariant subspaces for an operator in (equation omitted).
Keywords
hyponormal operators; hypercyclicity; subscalarity;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 On roots of normal operators /
[ H.Radjavi;P.Rosenthal ] / J. Math. Anal. Appl.   DOI
2 Algebraic and triangular n-hyponomal operators /
[ E.Ko ] / Proc. Amer. Math. Soc.
3 /
[ I.Colojoara;C.Foias ] / Theory of generalized spectral operators
4 On a Clary theorem /
[ E.Ko ] / Bull. Korean Math. Soc.   과학기술학회마을
5 /
[ M.Martin;M.Putinar ] / Lectures on hyponormal operators
6 /
[ P.R.Halmos ] / A Hilbert space problem book
7 Invariant closed sets for linear operators /
[ C.Kitai ] / Ph.D Thesis, Univ. of Toronto
8 Hyponormal operators are subscalar /
[ M.Putinar ] / J. Operator Th.
9 Invariant subspaces for subscalar operators /
[ J.Eschmeier ] / Arch. Math.   DOI
10 Square roots of hyponormal operators /
[ M.Kim;E.Ko ] / Glasgow Math. J.   DOI
11 Hypercyclic and cyclic vectors /
[ S.Ansari ] / J. Funct. Anal.   DOI   ScienceOn
12 Hyponormal operators /
[ J.G.stampfli ] / Pacific J. Math.   DOI
13 An inequality for the area of hyponormal spectra /
[ C.R.Putnam ] / Math. Zeit.   DOI
14 /
[ J.Conway ] / Subnormal operators