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Further bounds for the Euclidean operator radius of a pair of operators and their applications

  • Soumia Aici,
  • Abdelkader Frakis,
  • Fuad Kittaneh

摘要

We give several lower and upper bounds for the Euclidean operator radius of two operators on a Hilbert space. We improve some earlier related bounds. Also, as applications of these bounds, we deduce some new bounds for the classical numerical radius. Some of these bounds are refinements of certain existing bounds.