Solutions to the System of Operator Equations A1X=C1, XB2=C2, and A3XB3=C3 on Hilbert C*-Modules
We study the solvability of the system of the adjointable operator equations A1X=C1, XB2=C2, and A3XB3=C3 over Hilbert C*-modules. We give necessary and sufficient conditions for the existence of a solution and a positive solution of the system. We also derive representations for a general solution...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/826564 |