Journal of the Australian Mathematical Society (Series A)

Research Article

On the spectrum of C1 as an operator on bv0

J. I. Okutoyia1

a1 Kenyatta University P.O. Box 43844 Nairobi, Kenya

Abstract

In 1985 John Reade determined the spectrum of C1 regarded as an operator on the space c0 of all null sequences normed by ║x║ = supn≧0|xn|. It is the purpose of this paper to determine the spectrum of C1 regarded as an operator on the space bv0 of all sequences x such that xk → 0 as k → ∞ and S1446788700035205_inline1.

(Received March 28 1988)

(Revised March 03 1989)

1980 Mathematics subject classification (Amer. Math. Soc.) (1985 Revision)

  • 40 F 05;
  • 47 A 10