Convergence of measurable operators
- 1 September 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 74 (2) , 257-268
- https://doi.org/10.1017/s0305004100048052
Abstract
Segal(4) defines the algebra of measurable operators affiliated with a von Neumann algebra, and convergence nearly everywhere of a sequence of measurable operators, and shows that addition is jointly sequentially continuous and multiplication separately sequentially continuous in the star topology associated with convergence nearly everywhere.This publication has 5 references indexed in Scilit:
- STOCHASTIC CONVERGENCE FOR OPERATORSThe Quarterly Journal of Mathematics, 1964
- The * -Algebra of Unbounded OperatorsJournal of the London Mathematical Society, 1959
- Integration Theorems For Gages and Duality for Unimodular GroupsTransactions of the American Mathematical Society, 1959
- Integration theorems for gages and duality for unimodular groupsTransactions of the American Mathematical Society, 1959
- A Non-Commutative Extension of Abstract IntegrationAnnals of Mathematics, 1953