Some Cohomological Notions in Banach Algebras Based on Maximal Ideal Space
Tóm tắt
Từ khóa
Tài liệu tham khảo
Alaghmandan M, Nasr Isfahani R, Nemati M (2010) Character amenability and contractibility of abstract Segal algebras. Bull Aust Math Soc 82:274–281
Dales HG, Lau AT, Strauss D (2010) Banach algebras on semigroups and their compactifications. Mem Am Math Soc 205:1–165
Essmaili M, Rostami M, Amini M (2016) A characterization of biflatness of Segal algebras based on a character. Glas Math Ser III 51(71):45–58
Eymard P (1964) L’algèbre de Fourier d’un groupe localement compacte. Bull Soc Math France 92:181–236
Helemskii AY (1972) On a method for calculating and estimating the global homological dimentional of Banach algebras. Mat Sb 87(129):122–135
Helemskii AY (1989) The homology of Banach and topological algebras, translated from the Russian by Alan West. Mathematics and Its Applications (Soviet Series), 41. Kluwer Academic Publishers Group, Dordrecht, MR1093462 (92d:46178)
Javanshiri H, Nemati M (2018) Invariant $$\phi $$-means for abstract Segal algebras related to locally compact groups. Bull Belg Math Soc Simon Stevin 25:687–698
Kaniuth E, Lau AT, Pym J (2008) On $$\phi $$-amenability of Banach algebras. Math Proc Camb Philos Soc 44:85–96
Lau AT, Pym J (1990) Concerning the second dual of the group algebra of a locally compact group. J Lond Math Soc 41:445–460
Nasr Isfahani R, Soltani Renani S (2011) Character contractibility of Banach algebras and homological properties of Banach modules. Studia Math 202(3):205–225
Rahimi H, Ghahramani M, Moayeri S (2010) Biprojectivity and weak amenability of some Banach algebras. Contemp Math Funct Spaces Mod Anal 547:207–216
Runde V (2020) Amenable Banach algebras: a panorama, Springer monographs in mathematics. Springer-Verlag
Sahami A (2019) On left $$\phi $$-biprojectivity and left $$\phi $$-biflatness of certain Banach algebras. Politehn Univ Bucharest Sci Bull Ser A Appl Math Phys 81(4):97–106
Sahami A, Pourabbas A (2016) Approximate biprojectivity and $$\phi $$-biflatness of some Banach algebras. Colloq Math 245:273–284
Sahami A, Pourabbas A (2013) On $$\phi $$-biflat and $$\phi $$-biprojective Banach algebras. Bull Belg Math Soc Simon Stevin 20:789–801
Samei E, Spronk N, Stokke R (2010) Biflatness and pseudo-amenability of Segal algebras. Canad J Math 62:845–869