| Solution of Opertor Equations and Tensor products |
| Received:November 21, 1989 |
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| Fund Project:Supported by the Provincial Natural Science Foundation of Shanxi. |
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| Abstract: |
| In this paper we give all doubly commuting solutions to the simultaneous operator equations A*AC = αA*A2 + βAA*A and AA*C = λA*A2 + γAA*A on a Hilbert space with operators A and C unknown. And, as an application, we find the necessary and sufficient conditions for a tensor product A(?)B + C(?)D of operators to be quasinormal. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1992.04.001 |
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