# Bounded and sequential $\sigma$-approximate amenability of Banach algebras

Volume 18, Issue 2, pp 248--254
Publication Date: February 16, 2018 Submission Date: November 05, 2017
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### Authors

Mohammad Abolghasemi - Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran Mohsen Amini Khoei - Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran

### Abstract

In this paper, we study the notions of bounded $\sigma$-approximate amenability and sequential $\sigma$-approximate amenability for Banach algebras, where $\sigma$ is a continuous homomorphism of the corresponding Banach algebra. Also, we discuss some hereditary properties of these concepts.

### Share and Cite

##### ISRP Style

Mohammad Abolghasemi, Mohsen Amini Khoei, Bounded and sequential $\sigma$-approximate amenability of Banach algebras, Journal of Mathematics and Computer Science, 18 (2018), no. 2, 248--254

##### AMA Style

Abolghasemi Mohammad, Amini Khoei Mohsen, Bounded and sequential $\sigma$-approximate amenability of Banach algebras. J Math Comput SCI-JM. (2018); 18(2):248--254

##### Chicago/Turabian Style

Abolghasemi, Mohammad, Amini Khoei, Mohsen. "Bounded and sequential $\sigma$-approximate amenability of Banach algebras." Journal of Mathematics and Computer Science, 18, no. 2 (2018): 248--254

### Keywords

• Banach algebra
• $\sigma$-derivation
• bounded $\sigma$-approximately inner
• bounded $\sigma$-approximate amenability
• sequential $\sigma$-approximate amenability

•  46H20
•  46H25
•  46H35

### References

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