Skip to main content
Log in

Projections onto invariant subspaces of some banach algebras

  • Published:
Acta Mathematica Sinica, English Series Aims and scope Submit manuscript

Abstract

In this paper, among other things, the author studies the weak*-closed left translation invariant complemented subspace of semigroup algebras and group algebras. Also, the author studies the relationships between projections and amenability.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Gilbert, J. E.: On projections of L (G) onto translation invariant subspaces. Proc. London Math. Soc., 19, 69–88 (1969)

    Article  MATH  MathSciNet  Google Scholar 

  2. Lau, A. T.: Complementation of certain subspaces of L (G) of a locally compact group. Pacific J. Math., 141, 295–310 (1990)

    MATH  MathSciNet  Google Scholar 

  3. Lau, A. T.: Invariantly complemented subspaces of L (G) and amenable locally compact groups. Illinois J. Math., 26, 226–235 (1982)

    MATH  MathSciNet  Google Scholar 

  4. Crombez, G., Govaerts, W.: A characterization of certain weak*-closed subalgebras of L (G). J. Math. Anal. Appl., 72, 430–434 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  5. Takahashi, M.: A characterization of certain weak*-closed subalgebras of l (G). Hokhaido Math. J., 11,116–124 (1982)

    MATH  Google Scholar 

  6. Rosenthal, H. P.: Projections onto translation invariant subspaces of L (G). Memoirs Amer. Math. Soc., 63, (1996)

  7. Takahashi, M.: Complemented subspaces and amenability: a counterexample. Proc. Amer. Math. Soc., 118, 1113–1115 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  8. Lashkarizadeh Bami, M.: The topological centers of LUC(S)* and M a(S)* of certain foundation semigroups. Glasg. Math. J., 42, 335–343 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  9. Amini, M., Medghalchi, A. R.: Fourier algebras on topological foundation *-semigroup. Semigroup Forum., 68, 322–334 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  10. Dzinotyiweyi, H. A. M.: The analogue of the group algebra for topological semigroup, Pitman, Boston, London, 1984

    Google Scholar 

  11. Berglund, J. F., Junghenn, H. D., Milnes, P.: Analysis on semigroups, function spaces, compactifications, representions, John Wiley, New York, 1989

    Google Scholar 

  12. Ghaffari, A.: Characterization of operators on the dual of hypergroups which commute with translations and convolutions. Acta Mathematica Sinica, English Series, 20, 201–208 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  13. Lashkarizadeh Bami, M.: Function algebras on weighted topological semigroups. Math. Japon., 47, 217–227 (1998)

    MATH  MathSciNet  Google Scholar 

  14. Ghaffari, A.: Convolution operators on semigroup algebras. Southeast Asian Bulletin of Mathematics, 27, 1025–1036 (2004)

    MATH  MathSciNet  Google Scholar 

  15. Ghaffari, A.: Topologically left invariant mean on semigroup algebras. Proc. Indian Acad. Sci., 115 453–459 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  16. Lau, A. T.: Amenability of semigroups, The Analytical and topological theory of semigroups, Hofmann, K. H., Lawson, J. D. and Pym, J. S., eds., Walter de Gruyter, Berlin and New York, 331–334, 1990

    Google Scholar 

  17. Paterson, A. L. T.: Amenability, Amer. Math. Soc. Math. Survey and Monogrraphs, 29, Providence, Rhode Island, 1988

  18. Pier, J. P.: Amenable locally compact groups, John Wiley And Sons, New York, 1984

    Google Scholar 

  19. Rudin, W.: Functional analysis, McGraw Hill, New York, 1991

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ali Ghaffari.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghaffari, A. Projections onto invariant subspaces of some banach algebras. Acta. Math. Sin.-English Ser. 24, 1089–1096 (2008). https://doi.org/10.1007/s10114-007-6071-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10114-007-6071-6

Keywords

MR(2000) Subject Classification

Navigation