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13 results on '"Naimi, Mehdi"'

1. Some Sharp bounds for the generalized Davis-Wielandt radius

Author

Naimi, Mehdi, Benharrat, Mohammed, and Hireche, Faouzi

Subjects
Mathematics - Functional Analysis, Mathematics - Operator Algebras, 47A12, 47A30
Abstract

This paper presents a study of the generalized Davis-Wielandt radius of Hilbert space operators. New lower bounds for the generalized Davis-Wielandt radius and numerical radius are provided. An alternative of the triangular inequality for operators is also derived.

Published
2024

4. On the circular numerical range of 5-by-5 partial isometries

Author

Naimi, Mehdi and Benharrat, Mohammed

Subjects
Mathematics - Functional Analysis, Mathematics - Operator Algebras, Numerical range, Partial isometric, Kippenhahn curve
Abstract

We prove, in some cases in term of kippenhahn curve, that if 5-by-5 partial isometry whose numerical range is a circular disc then its center is must be the origin. This gives a partial affirmative answer of the Conjecture 5.1. of [H. l. Gau et al., Linear and Multilinear Algebra, 64 (1) 2016, 14--35.], for the five dimensional case.

Published
2021

8. ON THE CIRCULAR NUMERICAL RANGE OF 5-BY-5 PARTIAL ISOMETRIES.

Author

BENHARRAT, Mohammed and NAIMI, Mehdi

Subjects
*MULTILINEAR algebra, *LOGICAL prediction
Abstract

We prove, in some cases in term of kippenhahn curve, that if 5-by-5 partial isometry whose numerical range is a circular disc then its center is must be the origin. This gives a partial affirmative answer of the Conjecture 5.1. of [H. l. Gau et al., Linear and Multilinear Algebra, 64 (1) 2016, 14-35.], for the five dimensional case. [ABSTRACT FROM AUTHOR]

Published
2023
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