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Supermartingales on Semifinite Von Neumann Algebras
Author(s) -
Barnett Christopher
Publication year - 1981
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-24.1.175
Subject(s) - von neumann architecture , von neumann algebra , almost everywhere , pure mathematics , commutative property , mathematics , affiliated operator , abelian von neumann algebra , algebra over a field , jordan algebra , algebra representation
Martingales and Supermartingales associated with ‘non commutative’ L 1 are shown to converge almost everywhere. The processes considered are indexed by the non negative real numbers and the algebra from which L 1 is constructed is semifinite.