Bounded and sequential \(\sigma\)-approximate amenability of Banach algebras

Volume 18, Issue 2, pp 248--254 http://dx.doi.org/10.22436/jmcs.018.02.12

Publication Date: February 16, 2018 Submission Date: November 05, 2017

Download PDF

Download XML

• Export citations
  • CITATIONS & REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • ARTICLE CITATION
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)
  • REFERENCES
  • EndNote (.ENW)
  • Mendeley, JabRef (.BIB)
  • Papers, Zotero, Reference Manager, RefWorks (.RIS)

• 2209 Downloads
• 3332 Views

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

Keywords

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

MSC

•  46H20
•  46H25
•  46H35

References

• [1] F. F. Bonsall, J. Duncan, Complete Normed Algebras, Springer-Verlag, New York (1973)
  • MathSciNet
  • Google Scholar
  • MATH


• [2] J. B. Conway, A course in functional analysis, Springer, New York (2013)
  • MathSciNet
  • Google Scholar
  • MATH


• [3] F. Ghahramani, R. J. Loy, Generalized notions of amenability, J. Funct. Anal., 208 (2004), 229–260
  • View Article
  • MathSciNet
  • Google Scholar
  • MATH


• [4] F. Ghahramani, R. J. Loy, Y. Zhang, Generalized notions of amenability II, J. Funct. Anal. , 254 (2008), 1776--1810
  • MathSciNet
  • Google Scholar
  • MATH


• [5] F. Gourdeau, Amenability of Lipschitz algebra, Math. Proc. Combridge Philos. Soc., 112 (1992), 581–588
  • View Article
  • MathSciNet
  • Google Scholar


• [6] B. E. Johnson, Cohomology in Banach algebras, American Mathematical Society, Providence (1972)
  • MathSciNet
  • Google Scholar
  • MATH


• [7] M. S. Moslehian, A. N. Motlagh, Some notes on \((\sigma,\tau)\)-amenability of Banach algebras, Stud. Univ. Babeş-Bolyai Math. , 53 (2008), 57–68
  • MathSciNet
  • Google Scholar
  • MATH