Non-commutative bounded Vilenkin systems

P. G. Dodds, F. A. Sukochev

    Research output: Contribution to journalArticlepeer-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 Lp-spaces when taken in the lexicographic order. This is a non-commutative analogue of a theorem of Paley.

    Original languageEnglish
    Pages (from-to)73-92
    Number of pages20
    JournalMathematica Scandinavica
    Volume87
    Issue number1
    DOIs
    Publication statusPublished - 2000

    Fingerprint Dive into the research topics of 'Non-commutative bounded Vilenkin systems'. Together they form a unique fingerprint.

    Cite this