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J. Korean Math. Soc. 2003; 40(1): 73-86

Printed January 1, 2003

Copyright © The Korean Mathematical Society.

A generalized sequential operator-valued function space integral

Kun Soo Chang, Byoung Soo Kim, and Cheong Hee Park

Yonsei University, Yonsei University, University of Minnesota

Abstract

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In this paper, we define a generalized sequential opera-tor-valued function space integral by using a generalized Wiener measure. It is an extention of the sequential operator-valued function space integral introduced by Cameron and Storvick. We prove the existence of this integral for functionals which involve some product Borel measures.

Keywords: generalized Wiener measure space, generalized sequential operator-valued function space integral

MSC numbers: 28C20

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