对不变子空间的限制的谱

arXiv: Functional Analysis Pub Date : 2020-04-01 DOI:10.7153/oam-2020-14-19

D. Drivaliaris, N. Yannakakis

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引用次数: 2

摘要

设$X$是一个巴拿赫空间，$ a \in B(X)$， $M$是$ a $的不变子空间。我们给出了另一种证明，如果$A$到$M$的限制的谱中包含一个点，该点在$A$的谱中的任何给定洞中，则整个洞都在该限制的谱中。

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The spectrum of the restriction to an invariant subspace

Let $X$ be a Banach space, $A\in B(X)$ and $M$ be an invariant subspace of $A$. We present an alternative proof that, if the spectrum of the restriction of $A$ to $M$ contains a point that is in any given hole in the spectrum of $A$, then the entire hole is in the spectrum of the restriction.

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来源期刊

arXiv: Functional Analysis

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