Spectral decompositions of operators on non-Archimedean orthomodular spaces

DOI10.1007/BF00676261zbMath0838.46064MaRDI QIDQ1907572

Herminia Ochsenius A., Hans Arwed Keller

Publication date: 6 March 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

selfadjoint operatorprojection theoremorthogonal summandinfinite-dimensional orthomodular spacesorthogonal decompositions of finite matrices over fields of power seriesreduction modulo the residual spaces

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Cites Work

• Algebras of bounded operators on nonclassical orthomodular spaces
• A spectral theorem for matrices over fields of power series
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