Non-commutative bounded Vilenkin systems

P. G. Dodds; F. A. Sukochev

doi:10.7146/math.scand.a-14300

Non-commutative bounded Vilenkin systems

P. G. Dodds
, F. A. Sukochev

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We consider orthonormal systems in spaces of measurable operators associated with a finite von Neumann algebra which contain the classical bounded Vilenkin systems. We show that they form Schauder bases in all reflexive non-commutative L_p-spaces when taken in the lexicographic order. This is a non-commutative analogue of a theorem of Paley.

Original language	English
Pages (from-to)	73-92
Number of pages	20
Journal	Mathematica Scandinavica
Volume	87
Issue number	1
DOIs	https://doi.org/10.7146/math.scand.a-14300
Publication status	Published - 2000

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AB - We consider orthonormal systems in spaces of measurable operators associated with a finite von Neumann algebra which contain the classical bounded Vilenkin systems. We show that they form Schauder bases in all reflexive non-commutative Lp-spaces when taken in the lexicographic order. This is a non-commutative analogue of a theorem of Paley.

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Non-commutative bounded Vilenkin systems

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