# STABILITY THEOREMS OF THE OPERATOR-VALUED FUNCTION SPACE INTEGRAL ON $C_0(B)$

• Ryu, K.-S (DEPARTMENT OF MATHEMATICS, HANNAM UNIVERSITY) ;
• Yoo, S.-C (JAENEUNG COLLEGE)
• Published : 2000.11.01

#### Abstract

In 1968, Cameron and Storvick introduce the definition and the theories of the operator-valued function space integral. Since then, the stability theorems of the integral was developed by Johnson, Skoug, Chang etc [1, 2, 4, 5]. Recently, the authors establish the existence theorem of the operator-valued function space [8]. In this paper, we will prove the stability theorems of the operator-valued function space integral over paths in abstract Wiener space $C_0(B)$.

#### References

1. Gaussian Random Field Stability theorems for the operator-valued function space integral K. S. Chang;K. S. Ryu
2. Supplemento ai Rendiconti del Circolo Mathematico di Palermo. Serie Ⅱ v.17 Stability theorems for the Feynman integral ; The L(L₁(R), Co(R)) theory J. S. Chang
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