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A Hilbert space operator $T\in\bh$ is said to be $n$-$\ast$-paranormal, $T\in\sP(n)$ for short, if $\norm{T^*x}^n\leq \norm{T^nx}\norm{x}^{n-1}$ for all $x\in\h$. We proved some properties of class $\sP(n)$ and we proved an asymmetric Putnam-Fuglede theorem for $n$-$\ast$-paranormal. Also, we study some invariants of Weyl type theorems. Moreover, we will prove that a class $n$-$\ast$ paranormal operator is finite and it remains invariant under compact perturbation and some orthogonality results will be given.
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참고문헌 (32)
참고문헌 신청
P. Aiena / 2004 / Fredholm and local spectral theory with applications to multipliers / Kluwer
P. Aiena / 2010 / Weyl type theorems for left and right polaroid operators / Integral Equations Operator Theory 66(1):1~20
P. Aiena / 2001 / The single valued extension property and the generalized Kato decomposition property / Acta Sci. Math. (Szeged) 67(3-4):791~807
P. Aiena / 2006 / Variations on Weyl’s theorem / J. Math. Anal. Appl 324(1):566~579
M. Amouch / 2008 / on the property (gw) / Mediterr. J. Math 5(3):371~378
P. Aiena / 2010 / Weyl type theorems for left and right polaroid operators / Integral Equations Operator Theory 66(1):1~20
P. Aiena / 2001 / The single valued extension property and the generalized Kato decomposition property / Acta Sci. Math. (Szeged) 67(3-4):791~807
P. Aiena / 2006 / Variations on Weyl’s theorem / J. Math. Anal. Appl 324(1):566~579
M. Amouch / 2008 / on the property (gw) / Mediterr. J. Math 5(3):371~378
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