On the minimal eigenvalue of a positive definite operator determinant

DOI10.1017/S0308210500018850zbMath0613.15012MaRDI QIDQ3754118

Hans W. Volkmer

Publication date: 1986

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

operator determinantinner product spacedecomposable tensorminimal eigenvalueHermitian operatorsminimum of a quadratic form

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Quadratic and bilinear forms, inner products (15A63) Multilinear algebra, tensor calculus (15A69)

Related Items

Bounds for the spectrum of a two parameter matrix eigenvalue problem, Erratum: Multiparameter definiteness conditions II [Proc. Roy. Soc. Edinburgh Sect. A 93 (1982), 47-61], A Sylvester–Arnoldi type method for the generalized eigenvalue problem with two‐by‐two operator determinants

Cites Work

• Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
• Bounds on the ranks of some 3-tensors
• Indicial equivalents of multiparameter definiteness conditions in finite dimensions
• Erratum: Multiparameter definiteness conditions II [Proc. Roy. Soc. Edinburgh Sect. A 93 (1982), 47-61]
• Multiparameter definiteness conditions II