Sesquilinear functionals on matrix algebras with involution

DOI10.1080/03081087.2014.932323zbMath1318.15009OpenAlexW2054952706WikidataQ57787551 ScholiaQ57787551MaRDI QIDQ4981959

Tsiu-Kwen Lee

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.932323

zbMATH Keywords

inner productinvolutionelementary operatormatrix ringzero productsreduced tracesesquilinear functional(skew-)Hermitianclosed prime algebramember of mathematics divisionNCTS (Taipei office)

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Algebraic systems of matrices (15A30) Quadratic and bilinear forms, inner products (15A63) Finite-dimensional division rings (16K20)

Cites Work

• Lengths of central linear generalized polynomials in matrix algebras
• Commuting traces of multiadditive mappings
• Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)
• Inner products on the space of complex square matrices
• Prime rings satisfying a generalized polynomial identity
• Linear Generalized Polynomials with Finiteness Conditions

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