Adjoint Operator in Fuzzy Normed Linear Spaces


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 \(\alpha\in (0,1]\).


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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


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