@article {
author = {Shen, J. and Chen, A.},
title = {Analytic extension of a $N$th roots of $M$-hyponormal operator},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {41},
number = {4},
pages = {945-954},
year = {2015},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {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, we show that the sum of a $n$th roots of $M$-hyponormal operator and an algebraic operator of order $k$ which are commuting is subscalar of order $2kn+2$.},
keywords = {$n$th roots of $M$-hyponormal operator,Bishop's property ($\beta$),subscalar operator,invariant subspace},
url = {http://bims.iranjournals.ir/article_664.html},
eprint = {http://bims.iranjournals.ir/article_664_cbd29cea015607395ebabc120fa75053.pdf}
}