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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Main Authors: Rasoul Eskandari, Farzollah Mirzapour, Ali Morassaei
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/204031
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author Rasoul Eskandari
Farzollah Mirzapour
Ali Morassaei
author_facet Rasoul Eskandari
Farzollah Mirzapour
Ali Morassaei
author_sort Rasoul Eskandari
collection DOAJ
description 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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series Abstract and Applied Analysis
spelling doaj-art-d11ea0940cf14ebbb2340dfba0545d452025-02-03T06:08:21ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/204031204031More on (𝜶,𝜷)-Normal Operators in Hilbert SpacesRasoul Eskandari0Farzollah Mirzapour1Ali Morassaei2Department of Mathematics, Faculty of Sciences, University of Zanjan, Zanjan 45195-313, IranDepartment of Mathematics, Faculty of Sciences, University of Zanjan, Zanjan 45195-313, IranDepartment of Mathematics, Faculty of Sciences, University of Zanjan, Zanjan 45195-313, IranWe 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.http://dx.doi.org/10.1155/2012/204031
spellingShingle Rasoul Eskandari
Farzollah Mirzapour
Ali Morassaei
More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces
Abstract and Applied Analysis
title More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces
title_full More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces
title_fullStr More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces
title_full_unstemmed More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces
title_short More on (𝜶,𝜷)-Normal Operators in Hilbert Spaces
title_sort more on 𝜶 𝜷 normal operators in hilbert spaces
url http://dx.doi.org/10.1155/2012/204031
work_keys_str_mv AT rasouleskandari moreonαβnormaloperatorsinhilbertspaces
AT farzollahmirzapour moreonαβnormaloperatorsinhilbertspaces
AT alimorassaei moreonαβnormaloperatorsinhilbertspaces