Noncommutative ![]() spaces |
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| Authors: | Michael Marsalli |
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| Affiliation: | Department of Mathematics, Illinois State University, Normal, Illinois 61790-4520 |
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| Abstract: | Let  be a von Neumann algebra with a faithful, finite, normal tracial state  , and let  be a finite, maximal subdiagonal algebra of  . Let  be the closure of  in the noncommutative Lebesgue space  . Then  possesses several of the properties of the classical Hardy space on the circle, including a commutant lifting theorem, some results on Toeplitz operators, an  factorization theorem, Nehari's Theorem, and harmonic conjugates which are  bounded. |
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| Keywords: | |
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