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March 15, 2026Filomat0 citationsOpen Access

Numerical radius inequalities on C*-algebras via generalized Cartesian decomposition

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YCYueyang ChenBLBotao Long

Key Points

  • The research aims to improve bounds for numerical radii in C*-algebras using a Cartesian decomposition approach.
  • Introduced a Cartesian type decomposition of elements in C*-algebras.
  • Derived upper and lower bounds for a-numerical radius and algebraic numerical radius.
  • Improved existing bounds for numerical radii in C*-algebras through the new decomposition technique.

Abstract

We introduce a Cartesian type decomposition of an element in the setting of C*-algebras, and hence obtain several lower and upper bounds for both a-numerical radius and algebraic numerical radius on C+-algebras, which improve some existing bounds by means of Cartesian decomposition.

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Cite This Study

Chen et al. (2025) studied this question.

synapsesocial.com/papers/69b606af83145bc643d1cc62https://doi.org/10.2298/fil2521223c
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