A. Chen
Department of Mathematics, Hohhot Minzu College, 010051, Hohhot, China, and, School of Mathematical Sciences, Inner Mongolia University, 010021, Hohhot, China
[ 1 ] - 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...
نویسندگان همکار
J. Shen 1