Noncommutative vector-valued symmetric Hardy spaces

K. S. Tulenov

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 87-93.

Résumé

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.

Détail

Keywords: von Neumann algebra, subdiagonal algebra, noncommutative vector valued symmetric Hardy space, conditional expectation.

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