49
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Weakly almost periodic functionals on certain Banach algebras

&
Pages 1005-1017 | Received 19 May 2016, Published online: 21 Dec 2016

References

  • L. Argabright, Invariant means and fixed points, A sequel to Mitchells paper, Trans. Am. Math. Soc. 130 (1968), 127–130.
  • J.W. Conway, A Course in Functinal Analysis, Graduate texts in Math., Springer-Verlag, New York, 1985.
  • H.G. Dales and A.T.-M. Lau, The second duals of Beurling algebras, Mem. Amer. Math. Soc. 177 no. 836, 2005.
  • H.G. Dales, A.T.-M. Lau and D. Strauss, Second duals of measure algebras, Dissertationes Math. 481 (2012), 1–121.
  • K. Deleeuw and I. Glicksberg, Applications of almost periodic compactifications, Acta Math. 105 (1961), 63–97. doi: 10.1007/BF02559535
  • S. Desaulniers, R. Nasr-Isfahani and M. Nemati, Common fixed point properties and amenability of a class of Banach algebras, J. Math. Anal. Appl. 402 (2013), 536–544. doi: 10.1016/j.jmaa.2012.12.057
  • W.L. Green and A.T.-M. Lau, Equicontinuity, fixed-point properties and auto-morphisms of von Neumann algebras, J. Math. Anal. Appl. 88 (1982), 388–397. doi: 10.1016/0022-247X(82)90202-5
  • J. Kustermans and S. Vaes, Locally compact quantum groups, Ann. Sci. Ecole Norm. Sup. 33 (2000), 837–934.
  • A.T.-M. Lau, Analysis on a class of Banach algebras with application to harmonic analysis on locally compact groups and semigroups, Fund. Math. 118 (1983), 161–175.
  • A.T.-M. Lau, Semigroup of nonexpansive mappings on a Hilbert space, J. Math. Anal. Appl. 105 (1985), 514–522. doi: 10.1016/0022-247X(85)90066-6
  • A.T.-M. Lau, Uniformly continuous functionals on Banach algebras, Colloq. Math. LI (1987), 195–205.
  • A.T.-M. Lau and J. Ludwig, Fourier-Stieltjes algebra of a topological group, Adv. Math. 229 (2012), 2000–2023. doi: 10.1016/j.aim.2011.12.022
  • A.T.-M. Lau and W. Takahashi, Invariant means and semigroups of nonexpansive mappings on uniformly convex Banach spaces, J. Math. Anal. Appl. 153 (1990), 497–505. doi: 10.1016/0022-247X(90)90228-8
  • A.T.-M. Lau and J.C.S. Wong, Invariant subspaces for algebras of linear operators and amenable locally compact groups, Proc. Amer. Math. Soc. 102 (1988), 581–586. doi: 10.1090/S0002-9939-1988-0928984-8
  • A.T.-M. Lau and Y. Zhang, Fixed point properties for semigroups of nonlinear mappings and amenability, J. Funct. Anal. 263 (2012), 2949–2977. doi: 10.1016/j.jfa.2012.07.013
  • A.T.-M. Lau and Y. Zhang, Finite dimensional invariant subspace property and amenability for a class of Banach algebras, Trans. Amer. Math. Soc., to appear.
  • S.A. McKilligan and A.J. White, Representations of L-algebras, Proc. London Math. Soc. 25(3) (1972), 655–674. doi: 10.1112/plms/s3-25.4.655
  • P. Milnes, Left mean-ergodicity, fixed points, and invariant means, J. Math. Anal. Appl. 65 (1978), 32–43. doi: 10.1016/0022-247X(78)90199-3
  • T. Mitchell, Function algebras, means and fixed points, Trans. Amer. Math. Soc. 130 (1968), 117–126. doi: 10.1090/S0002-9947-1968-0217577-8
  • R. Nasr-Isfahani, Inner amenability of Lau algebras, Arch. Math. (Brno) 37 (2001), 45–55.
  • J.P. Pier, Amenable Banach algebras, Pitman Research Notes Math. Ser., Vol. 172, Longman, Harlow, 1988.
  • J.L. Taylor, The structure of convolution measure algebras, Trans. Amer. Math. Soc. 119 (1965), 150–166. doi: 10.1090/S0002-9947-1965-0185465-9
  • J.C.S. Wong, Topological invariant means on locally compact groups and fixed points, Proc. Amer. Math. Soc. 27 (1971), 572–578.
  • Y. Zhang, 2m-Weak amenability of group algebras, J. Math. Anal. Appl. 396 (2012), 412–416. doi: 10.1016/j.jmaa.2012.06.037

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.