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On well-bounded operators of type (B)

Published online by Cambridge University Press:  20 January 2009

P. G. Spain
P. G. Spain
Affiliation:
University of Glasgow, Glasgow, W.2
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The notion of a well-bounded operator was introduced by Smart (9). The properties of well-bounded operators were further investigated by Ringrose (6, 7), Sills (8) and Berkson and Dowson (2). Berkson and Dowson have developed a more complete theory for the type (A) and type (B) well-bounded operators than is possible for the general well-bounded operator. Their work relies heavily on Sills' treatment of the Banach algebra structure of the second dual of the Banach algebra of absolutely continuous functions on a compact interval.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , Issue 1 , June 1972 , pp. 35 - 48
Copyright
Copyright © Edinburgh Mathematical Society 1972

References

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