# Adjoint Operator in Fuzzy Normed Linear Spaces

Volume 2, Issue 3, pp 453--458
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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

• Dual space
• Fuzzy linear operator
• Fuzzy norm.

•  46S40
•  47S40

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