Results of semigroup of linear operators on Favard class and interpolation space

Aribike, E. E.; Akinyele, A. Y.; Ajiboye, A. O.

doi:10.28919/jsta/9622

J. Semigroup Theory Appl. 2026 (2026), Article ID 1

Results of semigroup of linear operators on Favard class and interpolation space

E. E. Aribike, A. Y. Akinyele, A. O. Ajiboye

PDF (132.9 KB) https://doi.org/10.28919/jsta/9622

Abstract

This paper presents the results of ω-order preserving partial contraction mapping (ω-OCPn) initiating a Favard class and interpolation. The study investigated some detailed properties of the Favard class concerning interpolation and perturbation theory on a Banach space. Then it was shown that the semigroup is bounded, closed, ⊙-reflexive, and the limes superior of the Favard class can be replaced by a limes inferior on C₀-semigroup.

Published: 20 February 2026
Volume: 2026 (2026)
License: CC BY 3.0

Copyright © 2026 E. E. Aribike, A. Y. Akinyele, A. O. Ajiboye. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

E. E. Aribike, A. Y. Akinyele, A. O. Ajiboye, Results of semigroup of linear operators on Favard class and interpolation space, J. Semigroup Theory Appl. 2026 (2026), 1. https://doi.org/10.28919/jsta/9622

BibTeX

@article{Aribike2026,
  author  = {Aribike, E. E. and Akinyele, A. Y. and Ajiboye, A. O.},
  title   = {Results of semigroup of linear operators on Favard class and interpolation space},
  journal = {J. Semigroup Theory Appl.},
  volume  = {2026},
  year    = {2026},
  pages   = {1},
  doi     = {10.28919/jsta/9622}
}