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]
Summary
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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