Non-Archimedean unitary operators

Authors

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

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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.

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Published

2011-09-25

Issue

Vol. 17 No. 3 (2011)

Section

Articles

How to Cite

Kochubei, A. N. “Non-Archimedean Unitary Operators”. Methods of Functional Analysis and Topology, vol. 17, no. 3, Sept. 2011, pp. 219-24, https://zen.imath.kiev.ua/index.php/mfat/article/view/487.