On Subscalarity of Some 2 × 2 M-Hyponormal Operator Matrices

On Subscalarity of Some 2 × 2 M-Hyponormal Operator Matrices

We provide some conditions for 2×2 operator matrices whose diagonal entries are M-hyponormal operators to be subscalar. As a consequence, we obtain that Weyl type theorem holds for such operator matrices.

Bibliographic Details
Main Authors: Fei Zuo, Junli Shen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/461567
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spelling doaj-af0ed3c9b52f4ad392651046723ed7bd2020-11-24T21:26:07ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/461567461567On Subscalarity of Some 2 × 2 M-Hyponormal Operator MatricesFei Zuo0Junli Shen1College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, ChinaSchool of Mathematical Science, Inner Mongolia University, Hohhot 010021, Inner Mongolia, ChinaWe provide some conditions for 2×2 operator matrices whose diagonal entries are M-hyponormal operators to be subscalar. As a consequence, we obtain that Weyl type theorem holds for such operator matrices.http://dx.doi.org/10.1155/2014/461567
collection DOAJ
language English
format Article
sources DOAJ
author Fei Zuo
Junli Shen
spellingShingle Fei Zuo
Junli Shen
On Subscalarity of Some 2 × 2 M-Hyponormal Operator Matrices
Abstract and Applied Analysis
author_facet Fei Zuo
Junli Shen
author_sort Fei Zuo
title On Subscalarity of Some 2 × 2 M-Hyponormal Operator Matrices
title_short On Subscalarity of Some 2 × 2 M-Hyponormal Operator Matrices
title_full On Subscalarity of Some 2 × 2 M-Hyponormal Operator Matrices
title_fullStr On Subscalarity of Some 2 × 2 M-Hyponormal Operator Matrices
title_full_unstemmed On Subscalarity of Some 2 × 2 M-Hyponormal Operator Matrices
title_sort on subscalarity of some 2 × 2 m-hyponormal operator matrices
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We provide some conditions for 2×2 operator matrices whose diagonal entries are M-hyponormal operators to be subscalar. As a consequence, we obtain that Weyl type theorem holds for such operator matrices.
url http://dx.doi.org/10.1155/2014/461567
work_keys_str_mv AT feizuo onsubscalarityofsome22mhyponormaloperatormatrices
AT junlishen onsubscalarityofsome22mhyponormaloperatormatrices
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