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Idempotent completions of operator partial matrices |
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| Authors: | Jinchuan Hou Heydar Radjavi Peter Rosenthal |
| Institution: | (1) Department of Mathematics, Shanxi Teachers University, 041004 Linfen, P. R. China;(2) Department of Mathematics, Statistics and Computing Science, Dalhousie University, B3H 3J5 Halifax, N.S., Canada;(3) Department of Mathematics, University of Toronto, On M5S 1A1 Toronto, Canada |
| Abstract: | Necessary and sufficient conditions are obtained for operator partial 2 × 2 matrices to have an idempotent completion, and all such completions are parametrically represented. Project supported by National Natural Science Foundation of China and Provincial Natural Science Foundation of Shanxi |
| Keywords: | Hilbert space Operator matrix Idempotent operator |
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