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SPECTRA AND FINE SPECTRA OF LOWER TRIANGULAR DOUBLE-BAND MATRICES AS OPERATORS ON l(p) (1 <= p < infinity)
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SPECTRA AND FINE SPECTRA OF LOWER TRIANGULAR DOUBLE-BAND MATRICES AS OPERATORS ON l(p) (1 <= p < infinity)

Ali M. Akhmedov and Saad R. El-Shabrawy
Mathematica Slovaca, Vol.65(5), pp.1137-1152
01/10/2015

Abstract

Mathematics Physical Sciences Science & Technology
Let Delta(a, 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 Delta(a, b) as a linear operator on the sequence space l(p), where 1 <= p < infinity are characterized completely. (C) 2015 Mathematical Institute Slovak Academy of Sciences

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