Noncommutative vector-valued symmetric Hardy spaces

Канат Туленов

doi:10.3103/s1066369x15110092

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Noncommutative vector-valued symmetric Hardy spaces

Канат Туленов

Year: 2015 Journal: Russian Mathematics Vol: 59 (11)Pages: 74-79 Publisher: Pleiades Publishing

DOI: 10.3103/s1066369x15110092

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Abstract

We introduce noncommutative vector-valued symmetricHardy spaces and demonstrate that they are quasi-Banach ones. For these spaces we prove analogs of some basic properties of the Hardy space.

Keywords:

Noncommutative geometry Mathematics Hardy space Pure mathematics Interpolation space Vector space Infinite-dimensional vector function Lp space Topological tensor product Banach space Locally convex topological vector space Noncommutative algebraic geometry Space (punctuation) Eberlein–Šmulian theorem Algebra over a field Functional analysis Noncommutative quantum field theory Topological space Computer science

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Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Advanced Banach Space Theory

Physical Sciences → Mathematics → Mathematical Physics

Advanced Harmonic Analysis Research

Physical Sciences → Mathematics → Applied Mathematics

Noncommutative vector-valued symmetric Hardy spaces

Abstract

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