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On the weak analogue of the Trotter-Kato theorem

Functional Analysis 2013-02-08 v1

Abstract

In the Trotter-Kato approximation theorem for C_0-semigroups on Banach spaces, we replace the strong by the weak operator topology and discuss the validity of the relevant implications.

Keywords

Cite

@article{arxiv.0805.1027,
  title  = {On the weak analogue of the Trotter-Kato theorem},
  author = {Tanja Eisner and Andras Sereny},
  journal= {arXiv preprint arXiv:0805.1027},
  year   = {2013}
}

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4 pages