Noncommutative vector-valued symmetric Hardy spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 87-93

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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.
@article{IVM_2015_11_a8,
     author = {K. S. Tulenov},
     title = {Noncommutative vector-valued symmetric {Hardy} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {87--93},
     publisher = {mathdoc},
     number = {11},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_11_a8/}
}
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K. S. Tulenov. Noncommutative vector-valued symmetric Hardy spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2015), pp. 87-93. http://geodesic.mathdoc.fr/item/IVM_2015_11_a8/