Non-Archimedean unitary operators

Abstract

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.

Full Text

Article Information

Title	Non-Archimedean unitary operators
Source	Methods Funct. Anal. Topology, Vol. 17 (2011), no. 3, 219-224
MathSciNet	MR2857725
Copyright	The Author(s) 2011 (CC BY-SA)

Authors Information

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

Citation Example

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

BibTex

@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 = {http://mfat.imath.kiev.ua/article/?id=590},
}