Spectral continuity of k-th roots of hyponormal operators
نویسندگان
چکیده
منابع مشابه
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: Operators and Matrices
سال: 2007
ISSN: 1846-3886
DOI: 10.7153/oam-01-14