Applications of operator spaces to abstract harmonic analysis

نویسنده

  • Volker Runde
چکیده

We give a survey of how the relatively young theory of operator spaces has led to a deeper understanding of the Fourier algebra of a locally compact group (and of related algebras).

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منابع مشابه

m at h . FA ] 1 8 A ug 2 00 3 Applications of operator spaces to abstract harmonic analysis

We give a survey of how the relatively young theory of operator spaces has led to a deeper understanding of the Fourier algebra of a locally compact group (and of related algebras).

متن کامل

m at h . FA ] 1 3 D ec 2 00 3 Applications of operator spaces to abstract harmonic analysis

We give a survey of how the relatively young theory of operator spaces has led to a deeper understanding of the Fourier algebra of a locally compact group (and of related algebras).

متن کامل

Abstract harmonic analysis, homological algebra, and operator spaces

harmonic analysis, homological algebra, and operator spaces

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A ug 2 00 8 Column and row operator spaces over QSL p - spaces and their use in abstract harmonic analysis

The notions of column and row operator space were extended by A. Lambert from Hilbert spaces to general Banach spaces. In this paper, we use column and row spaces over quotients of subspaces of general Lp-spaces to equip several Banach algebras occurring naturally in abstract harmonic analysis with canonical, yet not obvious operator space structures that turn them into completely bounded Banac...

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ar X iv : m at h / 03 08 16 9 v 3 [ m at h . FA ] 1 1 D ec 2 00 3 Applications of operator spaces to abstract harmonic analysis

We give a survey of how the relatively young theory of operator spaces has led to a deeper understanding of the Fourier algebra of a locally compact group (and of related algebras).

متن کامل

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تاریخ انتشار 2003