Journal of the Korean Mathematical Society (대한수학회지)
- Volume 31 Issue 3
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- Pages.375-391
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- 1994
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
Sequential operator-valued function space integral as an $L({L_p},{L_p'})$ theory
Abstract
In 1968k Cameron and Storvick introduced the analytic and the sequential operator-valued function space integral [2]. Since then, the theo교 of the analytic operator-valued function space integral has been investigated by many mathematicians - Cameron, Storvick, Johnson, Skoug, Lapidus, Chang and author etc. But there are not that many papers related to the theory of the sequential operator-valued function space integral. In this paper, we establish the existence of the sequential operator-valued function space integral as an operator from and investigated the integral equation related to this integral.
Keywords
- Bouchner integral;
- Wiener integral;
- analytic operator-valued functionspace integral;
- sequential operator-valued function space integral;
- operator-valued Feynman integral.