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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 11, Pages 87–93
(Mi ivm9056)
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This article is cited in 5 scientific papers (total in 5 papers)
Brief communications
Noncommutative vector-valued symmetric Hardy spaces
K. S. Tulenovab a Chair of Fundamental Mathematics, Al-Farabi Kazakh National University, 71 Al-Farabi Ave., Almaty, 050040 Republic of Kazakhstan
b Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010 Republic of Kazakhstan
Abstract:
We introduce noncommutative vector-valued symmetric Hardy spaces and demonstrate that they are quasi-Banach ones. For these spaces we prove analogs of some basic properties of the Hardy space.
Keywords:
von Neumann algebra, subdiagonal algebra, noncommutative vector valued symmetric Hardy space, conditional expectation.
Citation:
K. S. Tulenov, “Noncommutative vector-valued symmetric Hardy spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 11, 87–93; Russian Math. (Iz. VUZ), 59:11 (2015), 74–79
Linking options:
https://www.mathnet.ru/eng/ivm9056 https://www.mathnet.ru/eng/ivm/y2015/i11/p87
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Abstract page: | 209 | Full-text PDF : | 74 | References: | 38 | First page: | 11 |
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