Fuzzy normed space of operators and its completeness

  • Authors:
  • Jian-zhong Xiao;Xing-hua Zhu

  • Affiliations:
  • Department of Mathematics, Yancheng Teachers College, Jiangsu, 224002 Yancheng, People's Republic of China;Department of Mathematics, Yancheng Teachers College, Jiangsu, 224002 Yancheng, People's Republic of China

  • Venue:
  • Fuzzy Sets and Systems - Topology
  • Year:
  • 2003

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Abstract

In this paper the new definition of the fuzzy norm of a linear operator from one fuzzy normed linear space into another is introduced; and the boundedness of such an operator is described. Furthermore, the space of all bounded linear operators endowed with this fuzzy norm is studied; consequently, its topological structure as well as completeness is given, and that it can itself be made into a fuzzy normed linear space is also shown.