Opuscula Mathematica
Opuscula Math. 31, no. 3 (2011), 303-315

Investigating the numerical range and q-numerical range of non square matrices

Aikaterini Aretaki
John Maroulas
Abstract. A presentation of numerical ranges for rectangular matrices is undertaken in this paper, introducing two different definitions and elaborating basic properties. Further, we extend to the \(q\)-numerical range.
Keywords: numerical range, projectors, matrix norms, singular values.
Mathematics Subject Classification: 15A60, 15A18, 47A12, 47A30.
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About the authors ▼
Aikaterini Aretaki
National Technical University of Athens, Department of Mathematics, Zografou Campus, 15780 Athens, Greece
John Maroulas
National Technical University of Athens, Department of Mathematics, Zografou Campus, 15780 Athens, Greece
About the article ▼
Received: 2010-09-03.
Revised: 2010-10-18.
Accepted: 2010-10-18.
Cite this article as ▼
Aikaterini Aretaki, John Maroulas, Investigating the numerical range and q-numerical range of non square matrices, Opuscula Math. 31, no. 3 (2011), 303-315, http://dx.doi.org/10.7494/OpMath.2011.31.3.303.
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