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 e5eb5eee9c" title="Click to view the MathML source">A∈B(H,K), a4ebcac6828424936c91d3f5e21f14" title="Click to view the MathML source">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), 896e2ff0e2e" title="Click to view the MathML source">B∈B(K) and a98a693e50224d558414330fcea4" title="Click to view the MathML source">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 a93fdeb99f9f2c3acffef00ae"> is injective are presented.