
KCI등재
학술저널
DIVISIBLE SUBSPACES OF LINEAR OPERATORS ON BANACH SPACES
DIVISIBLE SUBSPACES OF LINEAR OPERATORS ON BANACH SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 37, No. 1
- 2024.02
- 19 - 26 (8 pages)
DOI : 10.14403/jcms.2024.37.1.19
In this paper, we investigate the properties related to algebraic spectral subspaces and divisible subspaces of linear operators on a Banach space. In addition, using the concept of topological divisior of zero of a Banach algebra, we prove that the only closed divisible subspace of a bounded linear operator on a Banach space is trivial. We also give an example of a bounded linear operator on a Banach space with non-trivial divisible subspaces.
1. Algebraic spectral subspaces of linear operators
2. Divisible subspaces of linear operators
References