<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper consists of Hankel results of <italic>ω</italic>-order reversing partial contraction as a semigroup of linear operator. Spectral mapping theorem was investigated and it was established that <italic>ω</italic>-order reversing partial contraction mapping is an eventually uniform continuous semigroup in which we showed that the proof of the extension of <italic>T </italic>(<italic>t</italic>) to a <italic>C</italic><sub>0</sub>-semigroup ̂<italic>T</italic>(<italic>t</italic>) on a space ̂<italic>X </italic>containing <italic>X </italic>isometrically bounded. The space is constructed in such a way that the spectrum of the generator <italic>A </italic>of <italic>T </italic>(<italic>t</italic>) coincides with the spectrum of the generator <italic>Â </italic>of ̂<italic>T</italic>(<italic>t</italic>) and the approximate point spectrum of <italic>A </italic>coincides with the point spectrum of <italic>Â</italic>.</p>
</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 ̂T(t) on a space ̂X 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 Â of ̂T(t) and the approximate point spectrum of A coincides with the point spectrum of Â.

Results of Hankel Semigroup of Linear Operator as Eventually Uniform Continuous Semigroup

Faculty of Physical Sciences Department of Mathematics

Morgantown Faculty of Physical Sciences Department of Mathematics

Faculty of Physical Sciences, Department of Mathematics

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper consists of Hankel results of ω-order reversing partial contraction as a semigroup of linear operator. Spectral mapping theorem was investigated and...

Results of Hankel Semigroup of Linear Operator as Eventually Uniform Continuous Semigroup

Pubblicato online: 24 nov 2023

Pagine: 65 - 76

Ricevuto: 23 dic 2021

Accettato: 19 lug 2022

DOI: https://doi.org/10.2478/gm-2022-0005

Parole chiave
Hankel matrix, Spectrum, -semigroup

© 2022 Akinola Yussuff Akinyele et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Results of Hankel Semigroup of Linear Operator as Eventually Uniform Continuous Semigroup

Pubblicato online: 24 nov 2023

Pagine: 65 - 76

Ricevuto: 23 dic 2021

Accettato: 19 lug 2022

DOI: https://doi.org/10.2478/gm-2022-0005

Parole chiaveHankel matrix, Spectrum, -semigroup

© 2022 Akinola Yussuff Akinyele et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Parole chiave
Hankel matrix, Spectrum, -semigroup