Spectrum and fine spectrum of the upper triangular triple-band matrix over some sequence spaces

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Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Amer Inst Physics

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The fine spectra of lower triangular triple-band matrices in some sequence spaces was examined by several authors. Recently, Karakaya and Altun determined the fine spectra of upper triangular double-band matrices over the sequence spaces c(0) and c, in [1]. In this paper, we determine the fine spectra of the upper triangular triple-band matrix over the sequence spaces c(0), c and l(infinity.) Additionally, we give the approximate point spectrum, the defect spectrum and the compression spectrum of the matrix operator A(r,s,t) over the spaces c(0), c and l(infinity) with some applications. These results are more general than the corresponding results obtained by Karakaya and Altun [J. Comput. Appl. Math. 234 (2010), 1387-1394].

Açıklama

International Conference on Advancements in Mathematical Sciences (AMS) -- NOV 05-07, 2015 -- Antalya, TURKEY

Anahtar Kelimeler

Spectrum Of An Operator, Upper Triple Band Matrix, Spectral Mapping Theorem, Sequence Spaces, Goldberg's Classification

Kaynak

Advancements In Mathematical Sciences (Ams 2015)

WoS Q Değeri

Scopus Q Değeri

Cilt

1676

Sayı

Künye