Non-isotropic unitary spaces and modules with Cauchy-Schwarz inequalities

DOI10.2140/pjm.1985.119.1zbMath0575.20046OpenAlexW1967747190MaRDI QIDQ1064410

Maurice J. Chacron

Publication date: 1985

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1985.119.1

zbMATH Keywords

orthogonal groupcenterunitary groupcongruence subgrouporderorthogonal basisinvolutiondivision ringlinear transformationsapproximation theoremprime ringunitary spaceform*-prevaluation*-valuation0-elliptic spaceArchimedean matrix representationCauchy- Schwarz inequalitydescending chain condition for normal subgroupslinear transformations of finite rankmodule of finite vectorsnon-isotropic unitary spaces

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Other matrix groups over rings (20H25) Valuations and their generalizations for commutative rings (13A18) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02) Division rings and semisimple Artin rings (16Kxx)

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