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- Title
Results of Hankel Semigroup of Linear Operator as Eventually Uniform Continuous Semigroup.
- Authors
Akinyele, Akinola Yussuff; Omosowon, Jude Babatunde; Aasa, Moses Adebowale; Ahmed, Bayo Musa; Bello, Kareem Akanbi
- Abstract
This paper consists of Hankel results of ω-order reversing partial contraction as a semigroup of linear operator. Spectral mapping theorem was investigated and it was established that ω-order reversing partial contraction mapping is an eventually uniform continuous semigroup in which we showed that the proof of the extension of T(t) to a C0-semigroup ˆ T(t) on a space ˆX containing X isometrically bounded. The space is constructed in such a way that the spectrum of the generator A of T(t) coincides with the spectrum of the generator Aˆ of Tˆ(t) and the approximate point spectrum of A coincides with the point spectrum of Aˆ.
- Subjects
HANKEL functions; LINEAR operators; SEMIGROUP algebras; CONTRACTION operators; OPERATOR theory
- Publication
General Mathematics, 2022, Vol 30, Issue 1, p65
- ISSN
1221-5023
- Publication type
Article
- DOI
10.2478/gm-2022-0005