The Convergence of Some Spectral Characteristics on the Convergent Series

Year 2023, , 423 - 429, 30.11.2023

Elif Otkun Çevik

https://doi.org/10.35193/bseufbd.1262386

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

Thanks

The author sincerely thanks to the editor and the referees for helpful suggestions.

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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