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- W2950698151 abstract "We first use properties of the Fuglede-Kadison determinant on $L^p(M)$, for a finite von Neumann algebra $M$, to give several useful variants of the noncommutative Szego theorem for $L^p(M)$, including the one usually attributed to Kolmogorov and Krein. As an application, we solve the longstanding open problem concerning the noncommutative generalization, to Arveson's noncommutative $H^p$ spaces, of the famous `outer factorization' of functions $f$ with $log |f|$ integrable. Using the Fuglede-Kadison determinant, we also generalize many other classical results concerning outer functions." @default.
- W2950698151 created "2019-06-27" @default.
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- W2950698151 date "2006-09-25" @default.
- W2950698151 modified "2023-09-27" @default.
- W2950698151 title "Applications of the Fuglede-Kadison determinant: Szeg{o}'s theorem and outers for noncommutative $H^p$" @default.
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