A Monotone Selection Principle in C*-algebras

Details A Monotone Selection Principle in C*-algebras A Monotone Selection Principle in C*-algebras

2003-11-25

arxiv.org/abs/math/0311438v1

Mathematics

Functional Analysis

Scientific paper

We apply to operator algebra theory a monotone selection principle which apparently escaped attention (of operator algebra theorists) so far. This principle relates to the basic order theoretic characterisation of von Neumann algebras given by Kadison, and the simplified form this result takes in separable Hilbert spaces. In the separable case we need only consider increasing sequences rather than increasing nets. We apply an argument of Klaus Floret to show that, within the realm of commutativity, there exists a general monotone selection principle providing for this simplification. Thereby we obtain a valuable shortcut and a handy tool for related purposes. Actually, a more general selection principle is proved within the framework of vector lattices.

Affiliated with

Also associated with

No associations

Rating

A Monotone Selection Principle in C*-algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Monotone Selection Principle in C*-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Monotone Selection Principle in C*-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670891