M. Mehrjoofard
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
[ 1 ] - Some results on the polynomial numerical hulls of matrices
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 matriceswe show that $V^k(A)=sigma(A)$.
[ 2 ] - GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE
The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, Generaliz...
[ 3 ] - GENERALIZED HIGHER-RANK NUMERICAL RANGE
In this note, a generalization of higher rank numerical range isintroduced and some of its properties are investigated
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