Hostname: page-component-76fb5796d-skm99 Total loading time: 0 Render date: 2024-04-25T09:19:42.962Z Has data issue: false hasContentIssue false
  • English
  • Français

The spectra of weighted mean operators on bν0

Part of: General theory of linear operators Systems of linear integral equations

Published online by Cambridge University Press:  09 April 2009

B. E. Rhoades
B. E. Rhoades
Affiliation:
Indiana UniversityBloomington, Indiana 47405, U.S.A.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In a series of papers, the author has previously investigated the spectra and fine spectra for weighted mean matrices, considered as bounded operators over various sequence spaces. This paper examines the spectra of weighted mean matrices as operators over bνv0, the space of null sequences of bounded variation.

MSC classification

Secondary: 45F05: Systems of nonsingular linear integral equations 47A10: Spectrum, resolvent
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 52 , Issue 2 , April 1992 , pp. 242 - 250
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Cass, Frank P. and Rhoades, B. E., ‘Mercerian theorems via spectral theory”, PacificJ. Math. 73 (1977), 63–71.CrossRefGoogle Scholar
[2]Okutoyi, J. I., ‘On the spectrum of c 1 as a operator on bν0’, J. Austral. Math. Soc. 48 (1990), 79–86.CrossRefGoogle Scholar
[3]Rhoades, B. E., ‘The fine spectra of weighted mean operators’, Pacific J. Math. 104 (1983), 219–230.CrossRefGoogle Scholar
[4]Rhoades, B. E., ‘The spectrum of weighted mean operators’, Canad. Math. Bull. 30 (1987), 446–449.CrossRefGoogle Scholar
[5]Rhoades, B. E., ‘The fine spectra for weighted mean operators in B(l p)’, Integral Equations Operator Theory 12 (1989), 82–98.CrossRefGoogle Scholar
[6]Stieglitz, Michael and Tietz, Hubert, ‘Matrixtransformationen von Folgenräumen Eine Ergebnisübersich”, Math. Z. 154 (1977), 1–16.CrossRefGoogle Scholar