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arXiv · 1204.1587

Schauder Bases and Operator Theory II: (SI) Schauder Operators

Geng Tian·Youqing Ji·Yang Cao
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Abstract

In this paper, we will show that for an operator $T$ which is injective and has dense range, there exists an invertible operator $X$ (in fact we can find $U+K$, where $U$ is an unitary operator and $K$ is a compact operator with norm less than a given positive real number) such that $XT$ is strongly irreducible. As its application, strongly irreducible operators always exist in the orbit of Schauder matrices.

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Geng Tian, Youqing Ji, Yang Cao. 2012-04-07. Schauder Bases and Operator Theory II: (SI) Schauder Operators. https://arxiv.org/abs/1204.1587

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