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Every Invertible Hilbert Space Operator is a Product of Seven Positive Operators
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1995
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