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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 12, Pages 19–25
(Mi ivm9182)
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On outer elements of noncommutative Orlicz–Hardy spaces
T. N. Bekzhan, K. N. Ospanov L. N. Gumilev Eurasian National University, 2 Satpaev str., Astana, 010008 Republic of Kazakhstan
Abstract:
Let $\mathcal M$ be a von Neumann algebra equipped with a faithful normal tracial state $\tau$, $\mathcal A$ be subdiagonal subalgebra of $\mathcal M$, and let $\Phi$ be a growth function. We transfer the results of Studia Math. 217 (3), 265–287 (2013) to the noncommutative $H^\Phi(\mathcal A)$ space case.
Keywords:
growth function, noncommutative Orlicz spaces, noncommutative Orlicz–Hardy space, outer element.
Received: 05.05.2015
Citation:
T. N. Bekzhan, K. N. Ospanov, “On outer elements of noncommutative Orlicz–Hardy spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 12, 19–25; Russian Math. (Iz. VUZ), 60:12 (2016), 15–20
Linking options:
https://www.mathnet.ru/eng/ivm9182 https://www.mathnet.ru/eng/ivm/y2016/i12/p19
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