Yansımalı Banach Uzaylarda Operatörlerin Çarpımsal İnjektiv ve Surjektiv s-Sayıları ile Yeni Weyl-Tipi Eşitsizlikleri

Bu çalışmada iki problem incelenmiştir. Genel olarak, kompleks yansımalı Banach uzaylarında operatörlerin Weyl-tipi eşitsizlikleri üzerinde durulmuştur. İlk olarak, birbirinin duali olan keyfi çarpımsal surjektif ve injektif ?-sayılarını kullanarak Weyl-tipi eşitsizlikler elde edilmiştir. İkinci olarak, kompleks yansımalı Banach uzayındaki ? ve ?$ operatörleri için belirli koşullar altında çarpımsal injektif ve surjektif ?-sayıları ile Weyl-tipi eşitsizlikler ifade edilmiştir. Böylece hem dual ?-sayı dizileri hem de dual operatörler için yeni Weyl-tipi eşitsizlikleri araştırılmıştır.

New Weyl-Type Inequalities by Multiplicative Injective and Surjective s-Numbers of Operators in Reflexive Banach Spaces

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 ?-numbers that are dual of each other. Second, we introduced the Weyl-type inequalities by multiplicative injective and surjective ?- numbers under certain conditions for ? and ?^' operators in complex reflexive Banach space. So, new Weyl-type inequalities are investigated for both dual ?-number sequences and dual operators.

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