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Birkhoff-James approximate orthogonality sets and numerical ranges
Authors:Christos Chorianopoulos
Institution:Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
Abstract:In this paper, the notion of Birkhoff-James approximate orthogonality sets is introduced for rectangular matrices and matrix polynomials. The proposed definition yields a natural generalization of standard numerical range and q-numerical range (and also of recent extensions), sharing with them several geometric properties.
Keywords:15A60  47A12
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