Volume 7, Issue 2 (11-2012)                   IJMSI 2012, 7(2): 9-16 | Back to browse issues page

‎ 10.7508/ijmsi.2012.02.002

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Uniform Boundedness Principle for operators on hypervector spaces
Ali Taghavi , Roja Hosseinzadeh
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.
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Type of Study: Research paper | Subject: General
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