Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators

Author

Guediri, Hocine

Source

Abstract and Applied Analysis

Issue

Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2010-10-14

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

The study of dual Toeplitz operators was elaborated by Stroethoff and Zheng (2002), where various corresponding algebraic and spectral properties were established.

In this paper, we characterize numerical ranges of certain classes of dual Toeplitz operators.

Moreover, we introduce the analog of Halmos' fifth classification problem for quasinormal dual Toeplitz operators.

In particular, we show that there are no quasinormal dual Toeplitz operators with bounded analytic or coanalytic symbols which are not normal.

American Psychological Association (APA)

Guediri, Hocine. 2010. Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-471273

Modern Language Association (MLA)

Guediri, Hocine. Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators. Abstract and Applied Analysis No. 2010 (2010), pp.1-14.
https://search.emarefa.net/detail/BIM-471273

American Medical Association (AMA)

Guediri, Hocine. Quasinormality and Numerical Ranges of Certain Classes of Dual Toeplitz Operators. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-14.
https://search.emarefa.net/detail/BIM-471273

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-471273