Rules for the partial multiplicities of the product of holomorphic matrix functions

DOI10.1007/BF01702314zbMath0453.15003OpenAlexW2062330884MaRDI QIDQ1148966

G. Philip. A. Thijsse

Publication date: 1980

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01702314

zbMATH Keywords

partial multiplicities of matrix polynomials

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

Classical linear algebra inequalities for the Jordan models of \(C_ 0\) operators, The local invariant factors of a product of holomorphic matrix functions: The order 4 case, Symmetry properties of and reduction principles for divisibility relations between the invariant factors of products of holomorphic matrix functions, Invariant subspaces of nilpotent operators and LR-sequences

Cites Work

• Unnamed Item
• On the partial multiplicities of a product of two matrix polynomials
• Semi-stability of sums of partial multiplicities under additive perturbation
• Unsolved problems in matrix and operator theory. II. Partial multiplicities for products
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ