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Closed derivation on the unit square

Published online by Cambridge University Press:  17 April 2009

Maw-Ding Jean
Maw-Ding Jean
Affiliation:
Department of Mathematics, Soochow University, Taipei, Taiwan, Republic of China
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Abstract

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In this paper we extend Kurose's structure theorem to characterize a closed derivation in the algebra of continuous functions on the unit square, under the conditions that the range is the whole algebra and the kernel is the set of all functions depend only on the second variable, as a partial derivative with respect to signed measures on the unit square.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 34 , Issue 1 , August 1986 , pp. 93 - 105
Copyright
Copyright © Australian Mathematical Society 1986

References

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