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On the spectrum of C1 as an operator on bv0

Part of: General theory of linear operators Absolute and strong summability

Published online by Cambridge University Press:  09 April 2009

J. I. Okutoyi
J. I. Okutoyi
Affiliation:
Kenyatta UniversityP.O. Box 43844 Nairobi, Kenya
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Abstract

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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 .

MSC classification

Secondary: 40F05: Absolute and strong summability (should also be assigned at least one other classification number in Section 40) 47A10: Spectrum, resolvent
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 1 , February 1990 , pp. 79 - 86
Copyright
Copyright © Australian Mathematical Society 1990

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