刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:1 February 2017
年:2017
卷:446
期:1
页码:264-275
全文大小:366 K
文摘
In this paper we completely answer the following question: for given 17e5eb5eee9c" title="Click to view the MathML source">A∈B(H,K), C∈B(L,K) does there exist X∈B(H,L) such that A+CX is injective? As an application of the obtained results, for given operators A∈B(H), B∈B(K) and C∈B(K,H), separate necessary conditions and sufficient conditions on the triple (A,B,C) for the existence of an operator X such that the 2×2 operator matrix is injective are presented.