Uniform Boundedness Principle for operators on hypervector spaces

Author(s):

Ali Taghavi , Roja Hosseinzadeh

Message:
Abstract:
The aim of this paper is to prove the Uniform Boundedness Principle and Banach-Steinhaus Theorem for anti linear operators and hence strong linear operators on Banach hypervector spaces. Also we prove the continuity of the product operation in such spaces.
Keywords:

hypervector space , normed hypervector space , operator

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:7 Issue: 2, Nov 2012
Page:
9
https://www.magiran.com/p1043206  
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