Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Some results on the polynomial numerical hulls of matrices

Document Type : Research Paper

Authors
1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.
Abstract
In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that
$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matrices
we show that $V^k(A)=sigma(A)$.
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  • Receive Date 06 March 2011
  • Revise Date 29 May 2012
  • Accept Date 29 May 2012