Abstract

In this work, two problems are investigated. In general, Weyl-type inequalities of operators in complex reflexive Banach spaces are discussed. First, we obtained the Weyl-type inequalities using arbitrary multiplicative surjective and injective 𝑠-numbers that are dual of each other. Second, we introduced the Weyl-type inequalities by multiplicative injective and surjective 𝑠- numbers under certain conditions for 𝑆 and 𝑆^' operators in complex reflexive Banach space. So, new Weyl-type inequalities are investigated for both dual 𝑠-number sequences and dual operators.

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