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The aim of this paper is to provide new upper bounds of ω(T), which denotes the numerical radius of a bounded operator T on a Hilbert space (H,⟨·,·⟩). We show… Click to show full abstract
The aim of this paper is to provide new upper bounds of ω(T), which denotes the numerical radius of a bounded operator T on a Hilbert space (H,⟨·,·⟩). We show the Aczél inequality in terms of the operator |T|. Next, we give certain inequalities about the A-numerical radius ωA(T) and the A-operator seminorm ∥T∥A of an operator T. We also present several results related to the A-numerical radius of 2×2 block matrices of semi-Hilbert space operators, by using symmetric 2×2 block matrices.
Keywords:
generalizations cauchy;
numerical radius;
cauchy schwarz;
schwarz inequalities;
inequalities applications
Journal Title: Symmetry
Year Published: 2023
Link to full text (if available)
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Journal Title: Symmetry
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!