The Convergence of Some Spectral Characteristics on the Convergent Series

Abstract

In this study, convergence properties of spectral, numerical and Crawford gap functions via convergences of Hilbert space operator series in difference and ratio cases are investigated. Obtained results have been applied to some classes continuous functions of the operators.

Keywords

• Operator Norm
• Spectral Radius
• Numerical Radius
• Crawford Number

Yakınsak Seriler Üzerinde Bazı Spektral Karakteristiklerin Yakınsaması

Abstract

Bu çalışmada, fark ve oran durumlarında yakınsak Hilbert uzay operatör serileri üzerinden spektral, sayısal ve Crawford boşluk fonksiyonlarının yakınsama özellikleri incelenmiştir. Elde edilen sonuçlar operatörlerin bazı sürekli fonksiyon sınıflarına uygulanmıştır.

Keywords

• Operatör Normu
• Spektral Yarıçap
• Sayısal Yarıçap
• Crawford Sayısı

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