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SKEW COMPLEX SYMMETRIC OPERATORS AND WEYL TYPE THEOREMS
고응일,고은정,이지은 대한수학회 2015 대한수학회보 Vol.52 No.4
An operator T ∈ L(H) is said to be skew complex symmetric if there exists a conjugation C on H such that T = −CT∗C. In this paper, we study properties of skew complex symmetric operators including spectral connections, Fredholmness, and subspace-hypercyclicity between skew complex symmetric operators and their adjoints. Moreover, we consider Weyl type theorems and Browder type theorems for skew complex symmetric operators.
Properties of a $k$th root of a hyponormal operator
고응일 대한수학회 2003 대한수학회보 Vol.40 No.4
In this paper, we study some properties of (sqrt[k]{H})(defined below). In particular we show that an operator T in(sqrt[k]{H}) satisfying the translation invariant property ishyponormal and an invertible operator T in (sqrt[k]{H}) andits inverse T^{-1} have a common nontrivial invariant closedset. Also we study some cases which have nontrivial invariantsubspaces for an operator in (sqrt{H}).
On ampliation quasiaffine transforms of operators
고응일 대한수학회 2021 대한수학회보 Vol.58 No.3
In this paper, we study various connections of local spectral properties, invariant subspaces, and spectra when an operator $S$ in ${\mathcal{L}}({\mathcal{H}})$ is an ampliation quasiaffine transform of an operator $T$ in ${\mathcal{L}}({\mathcal{H}})$.
Operators with the single valued extension property
김연하,고응일,이지은 대한수학회 2006 대한수학회보 Vol.43 No.3
In this paper we study some operators with the singlevalued extension property. In particular, we investigate the Heltonclass of an operator and ann n triangular operator matrixT.