JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (2): 49-54.doi: 10.6040/j.issn.1671-9352.0.2016.191

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Class of fuzzy bounded operators in Felbins type fuzzy normed linear spaces

CHANG Xiao-xuan, JI Pei-sheng*   

  1. School of Mathematics and Statistics, Qingdao University, Qingdao 266071, Shandong, China
  • Received:2016-04-28 Online:2017-02-20 Published:2017-01-18

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Abstract: The definition of the fuzzy norm of a class of fuzzy bounded operators in Felbins type fuzzy normed spaces is introduced. Furthermore,it is showed that the class of fuzzy bounded operators endowed with this fuzzy norm is still a fuzzy normed space, and its topological structure as well as completeness is studied.

Key words: fuzzy functional analysis, fuzzy norm, completeness, fuzzy normed linear space

CLC Number: 

  • O177.99
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