POLYNOMIAL NUMERICAL HULL OF NONSQUARE MATRICES

A definition of numerical range of nonsquare matrices with respect to an isometry was presented by Aikaterini Aretaki and John Maroulas in Investigating the numerical range and Q-numerical range of nonsquare matrices, Opuscula Mathematica, Vol. 31, No. 3, 2011. In this paper we state a definition for numerical range of nonsquare matrices by considering special set of isometries and then by using this definition we introduce polynomial numerical hull of nonsquare matrices.