On well-bounded operators of type (B)

Spain, P. G. (1972) On well-bounded operators of type (B). Proceedings of the Edinburgh Mathematical Society, 18(01), p. 35. (doi:10.1017/S0013091500026134)

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Publisher's URL: http://dx.doi.org/10.1017/S0013091500026134

Abstract

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Spain, Dr Philip
Authors: Spain, P. G.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Proceedings of the Edinburgh Mathematical Society
Publisher:Cambridge University Press
ISSN:0013-0915
ISSN (Online):1464-3839

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