Subspaces in Hermitian spaces of countable dimension. II

DOI10.1007/BF01159177zbMath0534.10013OpenAlexW2047446597MaRDI QIDQ790144

Werner Baeni

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173540

zbMATH Keywords

invariantsisometriesfinite codimensionsubspacescongruence theoremHermitian spaces of countable dimensionhyperbolic subspacesmaximal positive definite

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Forms over real fields (11E10)

Cites Work

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• Subspaces of positive definite inner product spaces of countable dimension
• Isomorphisms between lattices of linear subspaces which are induced by isometries
• Inner product spaces of infinite dimension; on the lattice method
• Quadratic forms in infinite dimensional vector spaces
• Quadratic and Hermitian forms in additive and Abelian categories
• Eine Bemerkung zu dichten Unterräumen reeller quadratischer Räume
• Distributive Sublattices of a Modular Lattice
• Classification of Countably Infinite Hermitian Forms Over Skewfields
• Remarks on the Pythagoras and Hasse number of real fields.
• On Witt's Theorem in the Denumerably Infinite Case
• The Weierstrass Theorem in Fields with Valuations

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