Drazin invertibility of the diagonal of an operator
Drazin invertibility of the diagonal of an operator
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DOI：
10.1080/03081087.2011.560574
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发表时间：
2012-01
影响因子：
1.1
通讯作者：
S. Djordjević;B. Duggal
中科院分区：
文献类型：
--
作者：
S. Djordjević;B. Duggal
本文给出了Banach空间算子T的升、降与它的对角线（即它对不变子空间的限制A与诱导商映射B）之间的关系。这个结果，然后应用到描述Drazin可逆的这三个运营商之一，使用Drazin可逆的其他两个运营商。证明了算子T是亚纯的当且仅当A和B是亚纯的.
In this article we will give relation between ascent and descent of a Banach space operator T and its diagonal (i.e. its restriction A to an invariant subspace and the induced quotient mapping B). This result is then applied to describe Drazin invertibility of one of these three operators using Drazin invertibility of the other two operators. It is proved that the operator T is meromorphic if and only if A and B are meromorphic.