Data: |
Lunedì 9 Giugno 2004, Ore 16.00
|
Luogo: |
Aula 1201, Dip. Matematica, U. Roma "Tor Vergata" |
Speaker: |
Prof. Jurie Conradie, University of Cape Town |
Titolo: |
ALGEBRAS OF MEASURABLE OPERATORS AFFILIATED
WITH A VON NEUMANN ALGEBRA |
Abstract: |
Let M be a semi-finite von Neumann algebra
equipped with a faithful semi-finite normal trace t. The set of
closed densely defined t-measurable operators affiliated with M
can be given the structure of a *-algebra, and topologized by
means of the topology of convergence in measure. We show that
it may also be viewed as a non-commutative Orlicz space and
discuss issues of local convexity and duality in this context.
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