Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898036 | Linear Algebra and its Applications | 2018 | 13 Pages |
Abstract
Let A be a unital Câ-algebra with the unit e. We consider the elements aâA which are Roberts orthogonal to the unit e. We obtain a characterization of this orthogonality in terms of the Davis-Wielandt shell of a and show that, for certain classes of elements of A, the Roberts orthogonality of a and e is equivalent to the symmetry of the numerical range of a with respect to the origin.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ljiljana ArambaÅ¡iÄ, Tomislav BeriÄ, Rajna RajiÄ,