Algebras of bounded operators on nonclassical orthomodular spaces

DOI10.1007/BF00671609zbMath0809.46094MaRDI QIDQ1325711

Herminia Ochsenius A., Hans Arwed Keller

Publication date: 30 March 1995

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

zbMATH Keywords

representation theorembounded linear operatorsoperator algebraorthomodularanalytic and topological characterizationsintegral domain with unique maximal idealorthogonal summandProjection Theorem

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Related Items (4)

A spectral theorem for matrices over fields of power series ⋮ Spectral decompositions of operators on non-Archimedean orthomodular spaces ⋮ Non-compact Trace class operators and Schatten-class operators in 𝑝-adic Hilbert spaces ⋮ Towards a theory of some unbounded linear operators on \(p\)-adic Hilbert spaces and applications

Cites Work

• Lattices and infinite-dimensional forms. `The lattice method'
• On the definition of Hilbert space
• On Characterizing the Standard Quantum Logics
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