Adjoint Operator in Fuzzy Normed Linear Spaces
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Authors
Ali Taghavi
- Department of Mathematics, Faculty of Mathematical Sciences Universuty of Mazandaran, Iran
Majid Mehdizadeh
- Young Researchers Club, Islamic Azad University, Ghaemshahr, Iran
Abstract
In this paper, the definition adjoint of the operator on fuzzy normed linear
spaces is introduced. It is shown that if \((X, \|\| )\) and \((Y ,\|\|^\sim )\)
are two fuzzy
normed linear spaces and \(T : X \rightarrow Y\) be a strongly (weakly) fuzzy bounded
linear operator, then \(T^*: Y^*\rightarrow X^*\) (adjoint of \(T\) ) is strongly ( weakly) fuzzy
bounded linear operator and \(\|T\|^*_\alpha=\|T^*\|^*_\alpha\), for each \(\alpha\in (0,1]\).
Share and Cite
ISRP Style
Ali Taghavi, Majid Mehdizadeh, Adjoint Operator in Fuzzy Normed Linear Spaces, Journal of Mathematics and Computer Science, 2 (2011), no. 3, 453--458
AMA Style
Taghavi Ali, Mehdizadeh Majid, Adjoint Operator in Fuzzy Normed Linear Spaces. J Math Comput SCI-JM. (2011); 2(3):453--458
Chicago/Turabian Style
Taghavi, Ali, Mehdizadeh, Majid. "Adjoint Operator in Fuzzy Normed Linear Spaces." Journal of Mathematics and Computer Science, 2, no. 3 (2011): 453--458
Keywords
- Adjoint operator
- Dual space
- Fuzzy linear operator
- Fuzzy norm.
MSC
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