New weyl-type inequalities by multiplicative injective and surjective s-numbers of operators in reflexive banach spaces

Abstract

In this work, two problems are investigated. In general. Weyl-type inequalities of operators in complex reflexive Banach spaces are discussed. Fir st, w'e obtained the Weyl-type inequalities using arbitrary multiplicative surjective and injective s-numbers that are dual of each other. Second, w'e introduced the Weyl-type inequalities by multiplicative injective and surjective s- numbers under certain conditions for S and S' operators hi complex reflexive Banach space. So. new Weyl-type inequalities are investigated for both dual s-number sequences and dual operators. © 2022, Adiyaman University. All rights reserved.