Hahn-banach Theorem for Functionals on Hypervector Spaces
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Authors
Ali Taghavi
- Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran
Roja Hosseinzadeh
- Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran
Abstract
In this paper we prove Hahn-Banach Theorem for functionals on hypervector spaces. In this regard, we introduce a new category of hypervector spaces and prove some results for them.
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ISRP Style
Ali Taghavi, Roja Hosseinzadeh, Hahn-banach Theorem for Functionals on Hypervector Spaces, Journal of Mathematics and Computer Science, 2 (2011), no. 4, 682--690
AMA Style
Taghavi Ali, Hosseinzadeh Roja, Hahn-banach Theorem for Functionals on Hypervector Spaces. J Math Comput SCI-JM. (2011); 2(4):682--690
Chicago/Turabian Style
Taghavi, Ali, Hosseinzadeh, Roja. "Hahn-banach Theorem for Functionals on Hypervector Spaces." Journal of Mathematics and Computer Science, 2, no. 4 (2011): 682--690
Keywords
- hypervector space
- normed hypervector space
- functional.
MSC
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