과제정보
This work is supported by the National Natural Science Foundation of China (No. 12061018) and the Postdoctoral Science Foundation of China (No. 2018M633450). The first author is supported by Foundation of Educational Commission (No. KY[2017]092) and of Science and Technology department (No. [2018]1001) of Guizhou Province of China.
참고문헌
- W. G. Bade, P. C. Curtis, Jr., and H. G. Dales, Amenability and weak amenability for Beurling and Lipschitz algebras, Proc. London Math. Soc. (3) 55 (1987), no. 2, 359-377. https://doi.org/10.1093/plms/s3-55_2.359
- U. Bader, T. Gelander, and N. Monod, A fixed point theorem for L1 spaces, Invent. Math. 189 (2012), no. 1, 143-148. https://doi.org/10.1007/s00222-011-0363-2
- A. Bodaghi, M. Eshaghi Gordji, and A. R. Medghalchi, A generalization of the weak amenability of Banach algebras, Banach J. Math. Anal. 3 (2009), no. 1, 131-142. https://doi.org/10.15352/bjma/1240336430
- E. Christensen, Derivations of nest algebras, Math. Ann. 229 (1977), no. 2, 155-161. https://doi.org/10.1007/BF01351601
- H. G. Dales and A. T.-M. Lau, The second duals of Beurling algebras, Mem. Amer. Math. Soc. 177 (2005), no. 836, vi+191 pp. https://doi.org/10.1090/memo/0836
- M. Despic and F. Ghahramani, Weak amenability of group algebras of locally compact groups, Canad. Math. Bull. 37 (1994), no. 2, 165-167. https://doi.org/10.4153/CMB1994-024-4
- A. Graven, Banach modules over Banach algebras, PhD thesis, Radboud University, Netherland, 1974.
- N. Gronbaek, A characterization of weakly amenable Banach algebras, Studia Math. 94 (1989), no. 2, 149-162. https://doi.org/10.4064/sm-94-2-149-162
- N. Gronbaek, Amenability of weighted convolution algebras on locally compact groups, Trans. Amer. Math. Soc. 319 (1990), no. 2, 765-775. https://doi.org/10.2307/2001264
- B. E. Johnson, Cohomology in Banach algebras, American Mathematical Society, Providence, RI, 1972.
- B. E. Johnson, Derivations from L1(G) into L1(G) and L∞(G), in Harmonic analysis (Luxembourg, 1987), 191-198, Lecture Notes in Math., 1359, Springer, Berlin, 1988. https://doi.org/10.1007/BFb0086599
- B. E. Johnson, Weak amenability of group algebras, Bull. London Math. Soc. 23 (1991), no. 3, 281-284. https://doi.org/10.1112/blms/23.3.281
- E. Kaniuth, A Course in Commutative Banach Algebras, Graduate Texts in Mathematics, 246, Springer, New York, 2009. https://doi.org/10.1007/978-0-387-72476-8
- V. Losert, The derivation problem for group algebras, Ann. of Math. (2) 168 (2008), no. 1, 221-246. https://doi.org/10.4007/annals.2008.168.221
- M. S. Moslehian and A. N. Motlagh, Some notes on (σ, τ)-amenability of Banach algebras, Stud. Univ. Babes-Bolyai Math. 53 (2008), no. 3, 57-68.
- A. Pourabbas, Weak amenability of weighted group algebras, Atti Sem. Mat. Fis. Univ. Modena 48 (2000), no. 2, 299-316.
- H. Reiter and J. D. Stegeman, Classical harmonic analysis and locally compact groups, second edition, London Mathematical Society Monographs. New Series, 22, The Clarendon Press, Oxford University Press, New York, 2000.
- V. Runde, Lectures on amenability, Lecture Notes in Mathematics, 1774, Springer-Verlag, Berlin, 2002. https://doi.org/10.1007/b82937
- S. Sakai, Derivations of W*-algebras, Ann. of Math. (2) 83 (1966), 273-279. https://doi.org/10.2307/1970432
- E. Samei, Weak amenability and 2-weak amenability of Beurling algebras, J. Math. Anal. Appl. 346 (2008), no. 2, 451-467. https://doi.org/10.1016/j.jmaa.2008.05.085
- S. Zadeh, Isometric isomorphisms of Beurling algebras, J. Math. Anal. Appl. 438 (2016), no. 1, 1-13. https://doi.org/10.1016/j.jmaa.2016.01.060
- Y. Zhang, Weak amenability of commutative Beurling algebras, Proc. Amer. Math. Soc. 142 (2014), no. 5, 1649-1661. https://doi.org/10.1090/S0002-9939-2014-11955-1