More on (α,β)-Normal Operators in Hilbert Spaces

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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Bibliographic Details
Published in:Abstract and Applied Analysis 2012-01, Vol.2012 (2012), p.1486-1496
Main Authors: Eskandari, Rasoul, Morassaei, Ali, Mirzapour, Farzollah
Format: Article
Language:English
Subjects:
Algebra
Hilbert space
Inequalities
Inequality
Linear operators
Norms
Operators
Studies
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Description
Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2012/204031