The local invariant factors of a product of holomorphic matrix functions: The order 4 case

DOI10.1007/BF01358957zbMath0771.15011OpenAlexW1989749026MaRDI QIDQ1804053

G. Philip. A. Thijsse

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1007/bf01358957

zbMATH Keywords

invariant factorsproduct of holomorphic matrix functions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (5)

Products of symmetric and skew-symmetric Matrices^∗ ⋮ Classical linear algebra inequalities for the Jordan models of \(C_ 0\) operators ⋮ Eigenvalues, invariant factors, highest weights, and Schubert calculus ⋮ 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

• On the partial multiplicities of a product of two matrix polynomials
• Rules for the partial multiplicities of the product of holomorphic matrix functions
• Unsolved problems in matrix and operator theory. II. Partial multiplicities for products
• The Hall polynomial
• Matrix realizations of littlewood—richardson sequences
• An Inequality for Invariant Factors
• Group characters and algebra
• The Multiplication of Schur-Functions and Extensions of p -Modules

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