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Products of positive operators


Author: Gerard J. Murphy
Journal: Proc. Amer. Math. Soc. 125 (1997), 3675-3677
MSC (1991): Primary 46L05, 47A65
DOI: https://doi.org/10.1090/S0002-9939-97-04019-7
MathSciNet review: 1415356
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Abstract: A new, very simple proof is given of a result of P. Y. Wu which asserts that every unitary operator on an infinite-dimensional Hilbert space is a product of positive operators.


References [Enhancements On Off] (What's this?)

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  • 2. M. Khalkali, C. Laurie, B. Mathes and H. Radjavi, Approximation by products of positive operators, J. Operator Theory 29 (1993), 237-247. MR 96c:47028
  • 3. G. J. Murphy and N. C. Phillips, $C^*$-algebras with the approximate positive factorization property, Trans. Amer. Math. Soc. 348 (1996), 2291-2306. CMP 96:10
  • 4. N. C. Phillips, Every invertible Hilbert-space operator is a product of seven positive operators, Canad. Math. Bull. 38 (1995), 230-236. MR 96h:47044
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  • 6. P. Y. Wu, Products of normal operators, Canadian J. Math. 40 (1988), 1322-1330. MR 90d:47039

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Additional Information

Gerard J. Murphy
Affiliation: Department of Mathematics, University College, Cork, Ireland
Email: gjm@ucc.ie

DOI: https://doi.org/10.1090/S0002-9939-97-04019-7
Received by editor(s): March 29, 1996
Received by editor(s) in revised form: July 22, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1997 American Mathematical Society

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