Rasoul Eskandari, F. Mirzapour, Ali Morassaei
Abstract
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We study some properties of (α, β)‐normal operators and we present various inequalities between the operator norm and the numerical radius of (α, β)‐normal operators on Banach algebra ℬ(ℋ) of all bounded linear operators T : ℋ → ℋ, where ℋ is Hilbert space.
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We study some properties of (α, β)‐normal operators and we present various inequalities between the operator norm and the numerical radius of (α, β)‐normal operators on Banach algebra ℬ(ℋ) of all bounded linear operators T : ℋ → ℋ, where ℋ is Hilbert space.
Key concepts: Mathematics, Operator norm, Hilbert space, Compact operator on Hilbert space, Operator theory, Finite-rank operator, Linear operators, Nuclear operator