2006•Journal of Tianjin University of Technology and EducationRequires access
Extension of operators on Riesz space with extended a-norm
Zhang Cui-jie
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Abstract
Beginning with the definition of extended a-norm,this article gives the corresponding definitions of the extended a-normed bounded operator and the operator norm in sense of extended a-norm,sequentially stud- ies their properties.Finally,the problem about the extension of positive linear operators preserving order on the extended a-normed separable Riesz space is solved.