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The Waring problem for matrix algebras

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Publication:2698428
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DOI10.1007/s11856-022-2366-7OpenAlexW4306925868MaRDI QIDQ2698428

Peter Šemrl, Matej Brešar

Publication date: 24 April 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.10708



Mathematics Subject Classification ID

Basic linear algebra (15Axx) General theory of linear operators (47Axx) Rings with polynomial identity (16Rxx)


Related Items (2)

The Waring problem for matrix algebras, II ⋮ The image of polynomials and Waring type problems on upper triangular matrix algebras



Cites Work

  • Unnamed Item
  • On the image of a noncommutative polynomial.
  • The Waring problem for finite simple groups.
  • Equations in simple Lie algebras
  • Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze.
  • Power-central polynomials on matrices.
  • Commutators and images of noncommutative polynomials
  • Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
  • Introduction to noncommutative algebra.
  • A note on sums of three square-zero matrices
  • On Ranges of Polynomials in Finite Matrix Rings
  • Matrix Analysis
  • How and Why to Solve the Operator Equation AX −XB = Y
  • Commutators of Operators, II


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