Subspaces in Hermitean spaces of countable dimension

DOI10.1007/BF01162007zbMath0517.46016OpenAlexW4234227643MaRDI QIDQ1053229

Werner Baeni

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/173346

zbMATH Keywords

orthogonal groupcongruence theoremHermitean formshermitean spaces of countable dimensioninfinite lattice of subspacesmaximal positive definite subspaces

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) Forms over real fields (11E10)

Related Items (2)

Lattices and infinite-dimensional forms. `The lattice method' ⋮ Different orthomodular orthocomplementations on a lattice

Cites Work

• 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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