On nonclassical Hilbert spaces

zbMath0521.10020MaRDI QIDQ1055472

Angela Fassler-Ullmann

Publication date: 1983

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

orthogonal groupClifford algebraquantum logicprojection theoremdivision algebrainfinite-dimensional Hermitian spacenon classical Hilbertian spacesnondegenrate symmetric bilinear formorthomodular spaces

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Inner product spaces and their generalizations, Hilbert spaces (46C99) Ordered fields (12J15) General binary quadratic forms (11E16) Valued fields (12J10) General valuation theory for fields (12J20) Division rings and semisimple Artin rings (16Kxx)

Related Items (2)

Bibliography on quantum logics and related structures ⋮ Generalized open mapping theorem for \(X\)-normed spaces

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