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Some inequalities for the Euclidean operator radius of two operators in Hilbert $C^{\ast}$-Modules space

Functional Analysis 2023-07-06 v1 Operator Algebras Spectral Theory

Abstract

The Euclidean operator radius of two bounded linear operators in the Hilbert CC^*-module over \A\A is given some precise bounds. Their relationship to recent findings in the literature that offer precise upper and lower bounds on the numerical radius of linear operators is also established.

Keywords

Cite

@article{arxiv.2307.01695,
  title  = {Some inequalities for the Euclidean operator radius of two operators in Hilbert $C^{\ast}$-Modules space},
  author = {M. H. M. Rashid},
  journal= {arXiv preprint arXiv:2307.01695},
  year   = {2023}
}

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12 pages