%0 Journal Article %T Bounded and sequential \(\sigma\)-approximate amenability of Banach algebras %A Abolghasemi, Mohammad %A Amini Khoei, Mohsen %J Journal of Mathematics and Computer Science %D 2018 %V 18 %N 2 %@ ISSN 2008-949X %F Abolghasemi2018 %X 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. %9 journal article %R 10.22436/jmcs.018.02.12 %U http://dx.doi.org/10.22436/jmcs.018.02.12 %P 248--254 %0 Book %T Complete Normed Algebras %A F. F. Bonsall %A J. Duncan %D 1973 %I Springer-Verlag %C New York %F Bonsall1973 %0 Book %T A course in functional analysis %A J. B. Conway %D 2013 %I Springer %C New York %F Conway2013 %0 Journal Article %T Generalized notions of amenability %A F. Ghahramani %A R. J. Loy %J J. Funct. Anal. %D 2004 %V 208 %F Ghahramani2004 %0 Journal Article %T Generalized notions of amenability II %A F. Ghahramani %A R. J. Loy %A Y. Zhang %J J. Funct. Anal. %D 2008 %V 254 %F Ghahramani2008 %0 Journal Article %T Amenability of Lipschitz algebra %A F. Gourdeau %J Math. Proc. Combridge Philos. Soc. %D 1992 %V 112 %F Gourdeau1992 %0 Book %T Cohomology in Banach algebras %A B. E. Johnson %D 1972 %I American Mathematical Society %C Providence %F Johnson1972 %0 Journal Article %T Some notes on \((\sigma,\tau)\)-amenability of Banach algebras %A M. S. Moslehian %A A. N. Motlagh %J Stud. Univ. Babeş-Bolyai Math. %D 2008 %V 53 %F Moslehian2008