Factoring positive operators on reproducing kernel Hilbert spaces |
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Authors: | R L Moore T T Trent |
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Institution: | (1) Department of Mathematics, University of Alabama, 35487-0350 Tuscaloosa, AL |
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Abstract: | We characterize when positive operators can be factored by analytic Toeplitz type operators. As a corollary, we give an operator theory characterization of those invariant subspaces of doubly commuting unilateral shifts, which are generated by a single inner function on the bidisk. The last result extends to shifts of arbitrary (countable) multiplicity. |
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Keywords: | 47B35 47D25 |
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