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.

UDC: 517.986

Received: 05.05.2015

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:12, 15–20

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