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Fuzzy normed space of operators and its completeness

✍ Scribed by Jian-zhong Xiao; Xing-hua Zhu

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
170 KB
Volume
133
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper the new deΓΏnition 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.

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