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J. Korean Math. Soc. 1998; 35(4): 999-1018

Printed December 1, 1998

Copyright © The Korean Mathematical Society.

Stability theorems for the operator-valued Feynman integral: The $L(L_1 (R), C_0 (R))$ theory

K. S. Chang, J. W. Ko, and K. S. Ryu

Yonsei University, Yonsei University and Hannam University

Abstract

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In this paper, we prove stability theorems for the operator-valued Feynman integral of certain functionals involving some Borel measures on $(0,t)$ as a bounded linear operator from $L_1(\Bbb R)$ to $C_0(\Bbb R)$.

Keywords: operator-valued Feynman integral, stability theorem, potential, wave function, Borel measure, bounded linear operator

MSC numbers: 28C20

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