Non-Archimedean unitary operators (Q2896640)
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scientific article; zbMATH DE number 6056391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-Archimedean unitary operators |
scientific article; zbMATH DE number 6056391 |
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16 July 2012
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non-Archimedean normal operators
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non-Archimedean orthogonality
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spectral theorem
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math.FA
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math-ph
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math.MP
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math.NT
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0.91662085
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0.89179814
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0.88922745
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Non-Archimedean unitary operators (English)
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In an earlier paper [\textit{A. N. Kochubei}, J. Math. Phys. 51, Article 023526 (2010)], the author found a class of non-Archimedean normal operators, bounded linear operators on Banach spaces over non-Archimedean fields possessing orthogonal (in the non-Archimedean sense) spectral decompositions. In the paper under review, a subclass is described consisting of operators whose properties resemble those of unitary operators. In particular, an analogue of Stone's theorem about one-parameter groups of unitary operators is proved.
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