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

1 Citation (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

Access to Document

10.7146/math.scand.a-14300Licence: In Copyright

Cite this

@article{90c1c213fb394282a6fcd6f0d3766f55,

title = "Non-commutative bounded Vilenkin systems",

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 Lp-spaces when taken in the lexicographic order. This is a non-commutative analogue of a theorem of Paley.",

author = "Dodds, {P. G.} and Sukochev, {F. A.}",

year = "2000",

doi = "10.7146/math.scand.a-14300",

language = "English",

volume = "87",

pages = "73--92",

journal = "Mathematica Scandinavica",

issn = "0025-5521",

number = "1",

}

TY - JOUR

T1 - Non-commutative bounded Vilenkin systems

AU - Dodds, P. G.

AU - Sukochev, F. A.

PY - 2000

Y1 - 2000

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0034361795&partnerID=8YFLogxK

U2 - 10.7146/math.scand.a-14300

DO - 10.7146/math.scand.a-14300

M3 - Article

AN - SCOPUS:0034361795

VL - 87

SP - 73

EP - 92

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

IS - 1

ER -

Non-commutative bounded Vilenkin systems

Abstract

Access to Document

Other files and links

Fingerprint

Cite this