On the convexity of numerical range in quaternionic hilbert spaces

DOI10.1080/03081088408817611zbMath0563.15016OpenAlexW1989222142MaRDI QIDQ3676278

Yik-Hoi Au-Yeung

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1080/03081088408817611

zbMATH Keywords

numerical rangeconvexitynormal matrixquaternionic Hilbert space

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) Numerical range, numerical radius (47A12)

Related Items

Quaternionic Numerical Range and Real Subspaces, Numerical range of quaternionic right linear bounded operators, A note on convexity of sections of quaternionic numerical range, Boundary generating curves of quaternionic numerical ranges, A short proof of a theorem on the numerical range of a normal quaternionic matrix, The numerical range of normal matrices with quaternion entries, The star-center of the quaternionic numerical range, On the boundedness of quaternionic numerical ranges with respect to nonstandard involutions, High, low, and quantitative roads in linear algebra, The upper numerical range of a quaternionic matrix is not a complex numerical range, Spectra of quaternion unit gain graphs, Quaternionic numerical range of complex matrices, A bridge between quaternionic and complex numerical ranges, Quaternions and matrices of quaternions, Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars, Convexity of the upper complex plane part of the numerical range of a quaternionic matrix, Diagonalization of Bounded Linear Operators on Separable Quaternionic Hilbert Space, S-spectrum and numerical range of a quaternionic operator

Cites Work

• A remark on the generalized numerical range of a normal matrix
• Another proof of the theorems on the eigenvalues of a square quaternion matrix
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix