Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4602469 | Linear Algebra and its Applications | 2009 | 5 Pages |
Abstract
Partial isometries and Moore–Penrose inverses of bounded adjointable operators on Hilbert C∗-modules are investigated. It is shown that a contraction between Hilbert C∗-modules is a partial isometry if and only if it possesses a contractive Moore–Penrose inverse. A bounded adjointable operator T is a partial isometry if and only if its bounded transform is 2-1/2T.
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