Title of article
Upper and lower bounds for numerical radii of block shifts
Author/Authors
Gau، Hwa Long نويسنده Department of Mathematics, National Central University , , Wu، Pei Yuan نويسنده Department of Applied Mathematics, National Chiao Tung University ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
13
From page
15
To page
27
Abstract
For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine when either of them becomes an equality.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2015
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2388987
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