Hostname: page-component-7479d7b7d-c9gpj Total loading time: 0 Render date: 2024-07-10T17:32:33.107Z Has data issue: false hasContentIssue false
  • English
  • Français

The Arens irregularity of an extremal algebra

Published online by Cambridge University Press:  20 January 2009

M. J. Crabb  and
C. M. McGregor
M. J. Crabb
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW
C. M. McGregor
Affiliation:
Department of Mathematics, University of Glasgow, University Gardens, Glasgow G12 8QW
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.

A class of extremal Banach algebras has Arens irregular multiplication.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 139 - 141
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

REFERENCES

1.Bollobas, B., The numerical range in Banach algebras and complex functions of exponential type, Bull, London Math. Soc. 3 (1971), 27–33.CrossRefGoogle Scholar
2.Crabb, M. J., Duncan, J. and McGregor, C. M., Some extremal problems in the theory of numerical ranges, Acta Math. 128 (1972), 23–42.CrossRefGoogle Scholar
3.Crabb, M. J. and McGregor, C. M., Interpolation and inequalities for functions of exponential type: the Arens irregularity of an extremal algebra, Glasgow Math. J., to appear.Google Scholar
4.Pym, J. S., The convolution of functionals on spaces of bounded functions, Proc. London Math. Soc. (3) 15 (1965), 84–104.Google Scholar