논문KCI 등재
(m, n)-PARANORMAL OPERATORS AND (m, n) ∗-PARANORMAL OPERATORS
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초록
We introduce the notion of $(m,n)$-paranormal operators and $(m,n)^*$-paranormal operators on Hilbert space and study their properties. We also characterize these operators. Examples of operators are given which are $(m,n)$-paranormal but not $(m,n)^*$-paranormal, and vice-versa.
Abstract
We introduce the notion of $(m,n)$-paranormal operators and $(m,n)^*$-paranormal operators on Hilbert space and study their properties. We also characterize these operators. Examples of operators are given which are $(m,n)$-paranormal but not $(m,n)^*$-paranormal, and vice-versa.
참고문헌 (10)
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- S. C. Arora, "Quasi *-paranormal operators, Invarient subspace and Allied spaces", pp.79~86 (1990), Narosa Publication
- N. L. Braha, "Some properties of paranormal and hyponormal operators", Bull. Math. Anal. Appl, 1(2), pp.23~35 (2009)
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- C. S. Kubrusly, "A note on k-paranormal operators", Oper. Matrices, 4(2), pp.213~223 (2010)[DOI]
- S. M. Patel, "Contributions to the study of spectraloid operators", Ph. D., pp.1974
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