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 language | English |
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Pages (from-to) | 73-92 |
Number of pages | 20 |
Journal | Mathematica Scandinavica |
Volume | 87 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2000 |