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

Details On the fine spectrum of the second order difference operator over the sequence spaces \ell_p and bv_p, (1 < p < \infty) On the fine spectrum of the second order difference operator over the sequence spaces \ell_p and bv_p, (1 < p < \infty)

2011-05-24

arxiv.org/abs/1105.4839v1

Mathematics

Functional Analysis

10 pages, no figure

Scientific paper

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 {\ell}_p and bvp.

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