Spectrum of Some Particular Limitation Matrices
Pp. 193-230 (38)
In this chapter, the spectrum and the fine spectrum of the Cesàro operator
C1, the difference operator (1), the generalized difference operator B(r; s) and
the operator generated by the triple band matrix B(r; s; t) acting on the sequence
spaces c0, c, lp and bvp with respect to Goldberg's classification are determined,
where 1 ≤ p < ∞.
Spectrum and resolvent of an operator, fine spectrum of an operator
with respect to Goldberg's classification, subdivisions of spectrum, point spectrum,
continuous spectrum and residual spectrum, approximate point spectrum, defect
spectrum and compression spectrum.