Subdivision of the Spectra for the Generalized Difference Operator Δ_(a,b) on the Sequence Space l_p " " (1 | Zendy

Nuh Durna | Zendy

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Subdivision of the Spectra for the Generalized Difference Operator Δ_(a,b) on the Sequence Space l_p " " (1<p<∞)

Author(s) -

Nuh Durna

Publication year - 2017

Publication title -

celal bayar üniversitesi fen bilimleri dergisi

Language(s) - English

Resource type - Journals

eISSN - 1305-1385

pISSN - 1305-130X

DOI - 10.18466/cbayarfbe.319876

Subject(s) - mathematics , operator (biology) , spectrum (functional analysis) , sequence (biology) , sequence space , shift operator , multiplication operator , space (punctuation) , point (geometry) , combinatorics , mathematical analysis , compact operator , geometry , hilbert space , physics , computer science , banach space , extension (predicate logic) , operating system , gene , genetics , biology , repressor , quantum mechanics , transcription factor , chemistry , biochemistry , programming language

El-Shabrawy has introduced the generalized difference operator denoted by . Let nonzero real numbers sequences and be convergent sequences such that and The generalized difference operator is with . In this paper we study the approximate point spectrum, the defect spectrum and the compression spectrum of the operator on the p-absolutely summable sequences space .

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