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Spectra and fine spectra of lower triangular double-band matrices as operators on $lp$ $(1≤ p<∞)$

In: Mathematica Slovaca, vol. 65, no. 5
Ali M. Akhmedov - Saad R. El-Shabrawy
Detaily:
Rok, strany: 2015, 1137 - 1152
Kľúčové slová:
spectrum, infinite matrices, sequence spaces
O článku:
Let $Δa,b$ denote an infinite lower triangular double-band matrix. In this paper, the spectrum, the point spectrum, the continuous spectrum and the residual spectrum of the matrix $Δa,b$ as a linear operator on the sequence space $lp$, where $1≤ p<∞$ are characterized completely.
Ako citovať:
ISO 690:
Akhmedov, A., El-Shabrawy, S. 2015. Spectra and fine spectra of lower triangular double-band matrices as operators on $lp$ $(1≤ p<∞)$. In Mathematica Slovaca, vol. 65, no.5, pp. 1137-1152. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0078

APA:
Akhmedov, A., El-Shabrawy, S. (2015). Spectra and fine spectra of lower triangular double-band matrices as operators on $lp$ $(1≤ p<∞)$. Mathematica Slovaca, 65(5), 1137-1152. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0078
O vydaní:
Publikované: 1. 10. 2015