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Non-Archimedean unitary operators


We describe a subclass of the class of normal operators on Banach spaces over non-Archimedean fields (A. N. Kochubei, J. Math. Phys. 51 (2010), article 023526) consisting of operators whose properties resemble those of unitary operators. In particular, an analog of Stone's theorem about one-parameter groups of unitary operators is proved.

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TitleNon-Archimedean unitary operators
SourceMethods Funct. Anal. Topology, Vol. 17 (2011), no. 3, 219-224
MathSciNet   MR2857725
CopyrightThe Author(s) 2011 (CC BY-SA)

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Anatoly N. Kochubei
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine 

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Anatoly N. Kochubei, Non-Archimedean unitary operators, Methods Funct. Anal. Topology 17 (2011), no. 3, 219-224.


@article {MFAT590,
    AUTHOR = {Kochubei, Anatoly N.},
     TITLE = {Non-Archimedean unitary operators},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {17},
      YEAR = {2011},
    NUMBER = {3},
     PAGES = {219-224},
      ISSN = {1029-3531},
  MRNUMBER = {MR2857725},
       URL = {},

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