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Iranian Mathematical Society Analytic extension of a N th roots of M-hyponormal operator ANALYTIC EXTENSION OF A N TH ROOTS OF M-HYPONORMAL OPERATOR
2015
Bull. Iranian Math. Soc
unpublished
Preserved Fulltext
In this paper, we study some properties of analytic extension of a nth roots of M-hyponormal operator. We show that every analytic extension of a nth roots of M-hyponormal operator is subscalar of order 2k +2n. As a consequence, we get that if the spectrum of such operator T has a nonempty interior in C, then T has a nontrivial invariant subspace. Finally, we show that the sum of a nth roots of M-hyponormal operator and an algebraic operator of order k which are commuting is subscalar of order
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