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

Authors :
BENHARRAT, Mohammed
NAIMI, Mehdi
Source :
Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science. 2023, Vol. 65 Issue 1, p57-75. 19p.
Publication Year :
2023

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]

Details

Language :
English
ISSN :
28102029
Volume :
65
Issue :
1
Database :
Academic Search Index
Journal :
Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science
Publication Type :
Academic Journal
Accession number :
164950673
Full Text :
https://doi.org/10.31926/but.mif.2023.3.65.1.5