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Spectra and Fine Spectra of Lower Triangular Double-Band Matrices as Operators on Lp (1 ≤ p < ∞)

  • Ali M. Akhmedov EMAIL logo and Saad R. El-Shabrawy
Published/Copyright: December 9, 2015
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Abstract

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

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Received: 2012-5-7
Accepted: 2012-11-29
Published Online: 2015-12-9
Published in Print: 2015-10-1

Mathematical Institute Slovak Academy of Sciences

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