Geodesic
Every Invertible Hilbert Space Operator is a Product of Seven Positive Operators
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 230-236

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DOI

We prove that every invertible operator in a properly infinite von Neumann algebra, in particular in L(H) for infinite dimensional H, is a product of 7 positive invertible operators. This improves a result of Wu, who proved that every invertible operator in L(H) is a product of 17 positive invertible operators.
DOI : 10.4153/CMB-1995-033-9
Mots-clés : 47B99 
Phillips, N. Christopher. Every Invertible Hilbert Space Operator is a Product of Seven Positive Operators. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 230-236. doi: 10.4153/CMB-1995-033-9
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     author = {Phillips, N. Christopher},
     title = {Every {Invertible} {Hilbert} {Space} {Operator} is a {Product} of {Seven} {Positive} {Operators}},
     journal = {Canadian mathematical bulletin},
     pages = {230--236},
     year = {1995},
     volume = {38},
     number = {2},
     doi = {10.4153/CMB-1995-033-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-033-9/}
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