Article ID Journal Published Year Pages File Type
8897963 Linear Algebra and its Applications 2018 19 Pages PDF
Abstract
In this paper, interplay between the geometric properties of WL(A) and algebraic properties of linear maps L:Hnm→Rℓ and A∈Hnm will be studied. We shall give a characterization of L such that rL(⋅) defines a norm on Hnm. Furthermore, we shall also characterize linear maps L:Hnm→Rℓ and A∈Hnm in which WL(A) is a singleton set. More generally, the characterization of linear maps L:Hnm→Rℓ and A∈Hnm in which WL(A) lies inside a k-dimensional affine subspace of Rℓ will be given.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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