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Genelleştirilmiş Altüçgensel Çift Bant Matrisi uv nin 0c Dizi Uzayı Üzerinde İnce Spektrumu

On The Fine Spectrum of Generalized Lower Triangular Double Band Matrıces uv Over The Sequence Space

Journal Name:

  • Cumhuriyet Üniversitesi Fen Fakültesi Fen Bilimleri Dergisi

Publication Year:

  • 2016
DOI: 
http://dx.doi.org/10.17776/csj.03831

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
The generalized difference operator Auv has been defined by Fathi and Lashkaripour: KvX = Auv (Xn ) = (Vn\ + Un-2Xn-X )1o ^ U-2 = U-1 = U0 = 0 , (Uk ) > (Vk ) convergent sequences of nonzero real numbers satisfying certain conditions. The purpose of this paper is to completely determine the approximate point spectrum, the defect spectrum and the comprossion spectrum of the operator A"v = (AMV)' on the sequence space . Also, with this division, the fine spectrum of generalized lower triangular double band matrices Auv which is given by Fathi and Lashkaripour in 2012, has been proved more shortly and different method on C(j space.
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Abstract (Original Language): 
Genelleştirilmiş fark operatörü Auv Fathi ve Lashkaripour tarafından tanımlanmıştır: (uk), (vk) bazı koşulları sağlayan sıfırdan farklı reel sayıların yakınsak dizileri olmak üzere A x = A (x ) = (v x + ıı x Y° biçiminde uv uv \ n } \ n n n-1 n-1 }n=o tanımlanır. Burada %_x =u_x =0 dır. Bu makalenin amacı ^ dizi uzayı üzerinde A"v =(Aal,y operatörünün yaklaşık nokta sepktrumunu, eksik spektrumunu ve sıkıştırılmış spektrumunu tam olarak belirlemektir. Ayrıca bu ayrışım yardımıyla 2012 de Fathi ve Lashkaripour tarafından verilen Auv genelleştirilmiş altüçgensel çift bant matrisinin ince spektrumu C(j uzayı üzerinde daha farklı ve kısa bir yolla hesaplanmıştır.
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REFERENCES

References: 

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