Pairs of quaternionic selfadjoint operators with numerical range in a halfplane

DOI10.1080/03081080701265165zbMath1137.47004OpenAlexW1980269551MaRDI QIDQ5443482

Leiba Rodman

Publication date: 21 February 2008

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080701265165

zbMATH Keywords

numerical rangeselfadjoint operatorsquaternionic Hilbert spaceweakly sectorial operator

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12)

Cites Work

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• Classification of sesquilinear forms, pairs of Hermitian forms, self- conjugate and isometric operators over the division ring of quaternions
• Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars
• Generalized numerical ranges, joint positive definiteness and multiple eigenvalues
• Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence
• Quaternions and matrices of quaternions