Twisted inner products and contraction inequalities on spaces of contravariant and covariant tensors

DOI10.1016/j.laa.2008.04.030zbMath1156.15017OpenAlexW2035721432MaRDI QIDQ947611

Thomas H. Pate

Publication date: 6 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.030

zbMATH Keywords

symmetric productsmultilinear identitiesCauchy-Schwartz inequalitytensor inequalitiestwisted inner product

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Quadratic and bilinear forms, inner products (15A63) Multilinear algebra, tensor calculus (15A69)

Cites Work

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• Lower bounds for permanents of Gram matrices having a rank one principal submatrix
• Tensor inequalities, \(\xi\)-functions and inequalities involving immanants
• An application of the Neuberger iteration procedure to the constant coefficient linear partial differential equation
• Some improvements in Neuberger's iteration procedure for solving partial differential equations
• Group algebras, monotonicity, and the lieb permanent inequality
• Minimum permanents of doubly stochastic matrices with prescribed zero entries^†
• A generalized Neuberger identity for the inner product of symmetric products of tensors
• A new lower bound inequality for the norm of the symmetric product
• Matrix Analysis
• Tensor products, symmetric products, and permanents of positive semi-definite Hermitian matrices
• Row Appending Maps, Ψ-Functions, and Immanant Inequalities for Hermitian Positive Semi-Definite Matrices
• Norm of symmetric product compared with norm of tensor product

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