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- W2947433087 abstract "Let T be a bounded linear operator on a complex Hilbert space H. T is called a -paranormal operator T if kTxk2 kT2xkkxk for all x 2 H. ”-paranormal” is a generalization of hyponormal (TT TT), and it is known that a -paranormal operator has several interesting properties. In this paper, we prove that if T is polynomially -paranormal, i.e., there exists a nonconstant polynomial q(z) such that q(T) is -paranormal, then T is isoloid and the spectral mapping theorem holds for the essential approximate point spectrum of T. Also, we prove related results." @default.
- W2947433087 created "2019-06-07" @default.
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- W2947433087 date "2013-01-01" @default.
- W2947433087 modified "2023-10-17" @default.
- W2947433087 title "On polynomially *-paranormal operators" @default.
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