Inner product spaces of infinite dimension; on the lattice method

DOI10.1007/BF01222765zbMath0411.15014MaRDI QIDQ1259648

Werner Baeni

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

quadratic formsisometrieslattice methodinner product spaces of infinite dimension

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Quadratic and bilinear forms, inner products (15A63)

Related Items (9)

Modular lattices and Hermitean forms ⋮ Lattices and infinite-dimensional forms. `The lattice method' ⋮ Bibliography on quantum logics and related structures ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Different orthomodular orthocomplementations on a lattice ⋮ Metabolische und Wittsche Zerlegungen in \(\aleph _ 0\)-dimensionalen Hermiteschen Räumen. (Metabolic and Witt decompositions in \(\aleph _ 0\)-dimensional Hermitian spaces) ⋮ Subspaces in Hermitian spaces of countable dimension. II ⋮ Subspaces in Hermitean spaces of countable dimension ⋮ Lattice problems originating in quadratic space theory

Cites Work

• On the non-trace-valued forms
• Subspaces of positive definite inner product spaces of countable dimension
• Isomorphisms between lattices of linear subspaces which are induced by isometries
• Quadratic forms in infinite dimensional vector spaces
• Eine Bemerkung zu dichten Unterräumen reeller quadratischer Räume
• The Weierstrass Theorem in Fields with Valuations

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