On quasinilpotent operators and the invariant subspace problem
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.04.026
Abstract: We show that a bounded quasinilpotent operator $T$ acting on an infinite dimensional Banach space has an invariant subspace if and only if there exists a rank one operator $F$ and a scalar $\alpha\in\mathbb{C}$, $\alpha\neq… read more here.
Keywords: quasinilpotent operators; operators invariant; quasinilpotent; invariant subspace ... See more keywords
Modulus hyperinvariant ideals for a finitely quasinilpotent operators
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DOI: 10.2298/fil1915717l
Abstract: Let X be a Banach space with an unconditional basis, and let C ? {0} be a collection of continuous linear operators with modulus on X that is finitely modulus-quasinilpotent at a non-zero positive vector.… read more here.
Keywords: finitely quasinilpotent; operators modulus; quasinilpotent operators; ideals finitely ... See more keywords