Izv. Vyssh. Uchebn. Zaved. Mat., 2015 Number 11, Pages 87–93
(Mi ivm9056)
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Brief communications Noncommutative vector-valued symmetric Hardy spaces K. S. Tulenov ab 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.
UDC:
517.98 Presented by the member of Editorial Board: A. M. Bikchentaev Received: 10.03.2015
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