两个幂等算子多线性组合的Drazin逆
On the Drazin Inverses of Multiplicative Combinations Associated with Two Idempotents
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摘要: 利用分块算子矩阵的技巧,对无穷维复Hilbert空间进行分解,在PQP=P,PQP=0,PQP=PQ的条件下,得到两个幂等算子P,Q多线性组合的Drazin逆的表达式.Abstract: By using the block-operator matrix technique and the decomposition of the infinite dimensional complex Hilbert spaces, the representations of the Drazin inverses of multiplicative combinations associated with two idempotents P,Q on a complex Hilbert space were obtained under the conditions PQP=P, PQP=0, PQP=PQ
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