Rasoul Eskandari, F. Mirzapour, Ali Morassaei
Abstract
We study some properties of ( ð ›¼ , ð ›½ ) -normal operators and we present various inequalities between the operator norm and the numerical radius of ( ð ›¼ , ð ›½ ) -normal operators on Banach algebra ℬ ( â„‹ ) of all bounded linear operators 𠑇 ∶ â„‹ → â„‹ , where â„‹ is Hilbert space.
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We study some properties of ( ð ›¼ , ð ›½ ) -normal operators and we present various inequalities between the operator norm and the numerical radius of ( ð ›¼ , ð ›½ ) -normal operators on Banach algebra ℬ ( â„‹ ) of all bounded linear operators 𠑇 ∶ â„‹ → â„‹ , where â„‹ is Hilbert space.
Key concepts: Mathematics, Operator norm, Hilbert space, Compact operator on Hilbert space, Linear operators, Operator theory, Norm (philosophy), Bounded function