| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5772938 | Linear Algebra and its Applications | 2018 | 10 Pages |
Abstract
There are two notions of approximate Birkhoff-James orthogonality in a normed space. We characterize both the notions of approximate Birkhoff-James orthogonality in the space of bounded linear operators defined on a normed space. A complete characterization of approximate Birkhoff-James orthogonality in the space of bounded linear operators defined on Hilbert space of any dimension is obtained which improves on the recent result by ChmieliÅski et al. (2017) [4], in which they characterized approximate Birkhoff-James orthogonality of linear operators on finite dimensional Hilbert space and also of compact operators on any Hilbert space.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Kallol Paul, Debmalya Sain, Arpita Mal,