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Analytic extension of a $N$th roots of $M$-hyponormal operator
In this paper, we study some properties of analytic extension of a $n$th roots of $M$-hyponormal operator. We show that every analytic extension of a $n$th 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 $mathbb{C}$, then $T$ has a nontrivial invariant subspace. Finally, w...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1975
ISSN: 0386-2194
DOI: 10.3792/pja/1195518521