Various notions of norm-attainability in normed spaces
Functional Analysis
2020-04-14 v1
Abstract
Let be a reflexive, dense, separable, infinite dimensional complex Hilbert space and let be the algebra of all bounded linear operators on . In this paper, we carry out characterizations of norm-attainable operators in normed spaces. We give conditions for norm-attainability of linear functionals in Banach spaces, non-power operators on and elementary operators. Lastly, we characterize a new notion of norm-attainability for power operators in normed spaces.
Keywords
Cite
@article{arxiv.2004.05496,
title = {Various notions of norm-attainability in normed spaces},
author = {Benard Okelo},
journal= {arXiv preprint arXiv:2004.05496},
year = {2020}
}