【摘 要】
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Let E be a Hilbert C*-module, and (J) be an orthogonally complemented closed submodule of E. The authors generalize the definitions of (J)-complementability and
【机 构】
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Department of Mathematics
论文部分内容阅读
Let E be a Hilbert C*-module, and (J) be an orthogonally complemented closed submodule of E. The authors generalize the definitions of (J)-complementability and (J)compatibility for general (adjointable) operators from Hilbert space to Hilbert C*-module,and discuss the relationship between each other. Several equivalent statements about (J)complementability and (J)-compatibility, and several representations of Schur complements of (J)-complementable operators (especially, of (J)-compatible operators and of positive (J)compatible operators) on a Hilbert C*-module are obtained. In addition, the quotient property for Schur complements of matrices is generalized to the quotient property for Schur complements of (J)-complementable operators and (J)*-complementable operators on a Hilbert C*-module.
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