On the fine spectrum of the second order difference operator over the sequence spaces ℓ_p and bv_p, (1 < p < ∞)

2011/05/24 by Vatan Karakaya, Karakaya, Vatan, Manaf Dzh. Manafov +4 · 1 citation
Chemistry · Mathematics · #15A18 #47A10 #47B37 #Advanced Banach Space Theory #Advanced Topics in Algebra #Approximation Theory and Sequence Spaces #Banach space #Chemistry #Combinatorics #FOS: Mathematics #Functional Analysis (math.FA) #Hilbert space #Mathematics #Matrix (chemical analysis) #Operator (biology) #Operator matrix #Order (exchange) #Physics #Pure mathematics #Quantum mechanics #Sequence (biology) #Sequence space #Spectrum (functional analysis) #math.FA #msc:15A18 #msc:47A10 #msc:47B37

paper · pdf · doi:10.48550/arxiv.1105.4839

10 pages, no figure

arxiv created 2011/05/24 · openalex publication_date 2011/05/24 · arxiv updated 2011/05/25 · openalex created_date 2022/08/29 · openalex updated_date 2026/08/05

Abstract

In general, it is well known the behaviors of the symmetric tri-band matrices on the Hilbert spaces. But the symmetric tri-band matrices have different the behavior on the Banach spaces. The main purpose of this work is to determine the fine spectra of the operator U(s, r, s) defined by symmetric tri-band matrix over the sequence spaces ℓ_p and bvp.

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