Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2015; 52(1): 141-157

Printed January 1, 2015

https://doi.org/10.4134/JKMS.2015.52.1.141

Copyright © The Korean Mathematical Society.

Admixable operators and a transform semigroup on abstract Wiener space

Seung Jun Chang, Jae Gil Choi, and David Skoug

Dankook University, Dankook University, University of Nebraska-Lincoln

Abstract

The purpose of this paper is first of all to investigate the behavior of admixable operators on the product of abstract Wiener spaces and secondly to examine transform semigroups which consist of admix-Wiener transforms on abstract Wiener spaces.

Keywords: abstract Wiener space, admixable operator, admix-Wiener transform, transform semigroup

MSC numbers: 28C20, 46G12, 20M20