中文

A Non-commutative Monotone Selection Principle

泛函分析 2007-05-23 v1 算子代数

摘要

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 σ\sigma-finite von Neumann algebra. This is to be seen as a ``monotone version'' of first countability.

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引用

@article{arxiv.math/0312061,
  title  = {A Non-commutative Monotone Selection Principle},
  author = {Marco Thill},
  journal= {arXiv preprint arXiv:math/0312061},
  year   = {2007}
}