Abstract
This paper consists of dissipative properties and results of dissipation on infinitesimal generator of a C0-semigroup of ω-order preserving partial contraction mapping (ω-OCPn) in semigroup of linear operator. The purpose of this paper is to establish some dissipative properties on ω-OCPn which have been obtained in the various theorems (research results) and were proved.
Highlights
C0-semigroup that is strongly continuous one-parameter semigroup of bounded linear operator in X
Let ω-order preserving partial contraction mapping (ω-OCPn) be ω-order-preserving partial contraction mapping which is an example of C0-semigroup
This paper will focus on results of dissipative operator on ω-OCPn on Banach space as an example of a semigroup of linear operator called C0-semigroup
Summary
C0-semigroup that is strongly continuous one-parameter semigroup of bounded linear operator in X. Let ω-OCPn be ω-order-preserving partial contraction mapping (semigroup of linear operator) which is an example of C0-semigroup. Let Mm ( ) be a matrix, L ( X ) a bounded linear operator on X, Pn a partial transformation semigroup, ρ ( A) a resolvent set, F ( x) a duality mapping on X and A is a generator of C0-semigroup.
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