The G-bilinear range

DOI10.1080/03081088208817457zbMath0496.15016OpenAlexW2036763468MaRDI QIDQ3960965

Markus Sandy, Marvin Marcus

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/03081088208817457

zbMATH Keywords

largest eigenvaluenumerical rangesunitary spaceG-bilinear rangepositive definite hermitian

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (4)

A biography of Marvin Marcus ⋮ Diameter and minimal width of the numerical range ⋮ A survey of canonical forms and invariants for unitary similarity ⋮ The constrained bilinear form and the C-numerical range

Cites Work

• Unnamed Item
• Extrema of functions of a real symmetric matrix in terms of eigenvalues
• Elementary inclusion relations for generalized numerical ranges
• Constrained extrema of bilinear functionals
• On certain finite dimensional numerical ranges and numerical radii^†
• The spread of a matrix
• Another proof of a result of Westwick
• A theorem on numerical range
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

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