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