Generalized Schur functions

DOI10.1016/0021-8693(75)90057-5zbMath0309.15006OpenAlexW1998069889MaRDI QIDQ1218897

Russell Merris, J. A. Dias da Silva

Publication date: 1975

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90057-5

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Multilinear algebra, tensor calculus (15A69) Stochastic matrices (15B51)

Related Items

Inequalities involving immanants ⋮ Linear groups associated with elements of a group algebra ⋮ Semigroups defined by generalized Schur functions ⋮ Linear operators preserving the generalized decomposable numerical range ⋮ Generalized Schur functions and generalized decomposable symmetric tensors ⋮ Refinements of the Schur inequality for principal characters ⋮ The generalized numerical radius associated with a positive semi-definite function ⋮ Hook immanants and symmetry-antisymmetry modules ⋮ The generalized numerical radius associated with a positive semi-definite function II ⋮ Conditions for equality of decomposable symmetric tensors. II ⋮ Theorems on the index of a symmetry class of tensors ⋮ Exterior products, elementary symmetric functions, and the Fischer determinant inequality ⋮ A machine for producing inequalities involving immanants and other generalized matrix functions ⋮ Inequalities for some operator and matrix functions ⋮ \((\lambda,G)\)-critical matrices ⋮ On the Schur inequality ⋮ Applications of spherical functions in multilinear algebra ⋮ Matrix functions afforded by entries of unitary representations ⋮ Positive semi-definiteness in the complex group algebra ⋮ On martingale inequalities in non-commutative stochastic analysis ⋮ Irreducible representations of the full linear group ⋮ Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities

Cites Work

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• Generalized Matrix Functions
• Inequalities for some Monotone Matrix Functions