Given operators A, B and C, some conditions are given for the existence of an operator X such that the 2 X 2 operator matrix M(X) = ((A C)(X B)) is invertible.
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Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
Ren, FG
Du, HK
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Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
Du, HK
Cao, HX
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Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R ChinaShaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
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St Ambrose Univ, Dept Math & Stat, 421 Ambrose Hall,518 W Locust St, Davenport, IA 52803 USAChapman Univ, Dept Math, 1 Univ Dr, Orange, CA 92866 USA