Proceedings of the American Mathematical Society

Author(s): Gerard J. Murphy
Journal: Proc. Amer. Math. Soc. 125 (1997), 3675-3677.
MSC (1991): Primary 46L05, 47A65
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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.

1.: C. S. Ballantine, Products of positive definite matrices IV, Linear Alg. Appl. 3 (1970), 79-114. MR 41:1766
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, -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
5.: H. Radjavi, Products of Hermitian matrices and symmetries, Proc. Amer. Math. Soc. 21 (1969), 369-372; 26 (1970), 701. MR 39:1470; MR 42:289
6.: P. Y. Wu, Products of normal operators, Canadian J. Math. 40 (1988), 1322-1330. MR 90d:47039

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