Abstract

This paper consists of some properties of a new subclass of semigroup of linear operator. The stability and spectra analysis of ω-order preserving partial contraction mapping (ω-OCPn) are obtained. The results show that operators on the proposed ω-OCPn are densely defined and closed. Several existing results in the literature are contained in this work.

Highlights

  • This paper consists of some properties of a new subclass of semigroup of linear operator

  • The theory of stability is important since stability plays a central role in the structural theory of operators such as semigroup of linear operator, contraction semigroup, invariant subspace theory and to mention but few

  • The recent advances deeply interact with modern topics from complex function theory, harmonic analysis, the geometry of Banach spaces, and spectra theory [1]

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Summary

Introduction

This paper consists of some properties of a new subclass of semigroup of linear operator. Contraction Mapping, Semigroup, Banach Space, Resolvent and Bounded Be a finite set, (T (t )) t≥0 the C0-semigroup which is strongly continuous one parameter semigroup of bounded linear oper-

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