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On the MT*- and λ-Conjugates of Spaces

Published online by Cambridge University Press:  20 November 2018

H. W. Ellis
H. W. Ellis*
Affiliation:
Queen's University Kingston
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Marston Morse and William Transue (9, 10), motivated by their theory of bilinear functions, introduced and studied vector function spaces called MT-spaces for which each element of the dual is represented by an integral with respect to a suitable (C) measure. In this paper the definition of real MT-spaces is generalized to give spaces, called MT*-spaces, for which part but not all of the dual is of integral type and this part is called the MT*-conjugate of the space.

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 381 - 391
Copyright
Copyright © Canadian Mathematical Society 1958 

Footnotes

Written while the author was an Alfred P. Sloan Research Fellow.

References

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