Family of quaternion norms with isometry group \(\mathbb Z_{2}\) in general position

DOI10.1134/S000143460907030XzbMath1181.15021OpenAlexW2075332076MaRDI QIDQ736237

R. S. Ismagilov, Yuri I. Lyubich

Publication date: 27 October 2009

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143460907030x

zbMATH Keywords

rational functiongeneric matrixquaternion skew fieldlinear isometry over quaternionsquaternion normsZariski open set

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

• Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs

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