A Non-commutative Monotone Selection Principle

Details A Non-commutative Monotone Selection Principle A Non-commutative Monotone Selection Principle

2003-12-02

arxiv.org/abs/math/0312061v1

Mathematics

Functional Analysis

Scientific paper

We give an elementary proof of a monotone selection principle which allows to
pass from increasing nets to increasing sequences in the Hermitian part of a
$\sigma$-finite von Neumann algebra. This is to be seen as a ``monotone
version'' of first countability.

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