Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Structure of Banach algebras $ A$ satisfying $ Ax\sp 2=Ax$ for every $ x\in A$

Authors: J. Esterle and M. Oudadess
Journal: Proc. Amer. Math. Soc. 96 (1986), 91-94
MSC: Primary 46J35
MathSciNet review: 813818
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We give a complete characterization of Banach algebras which satisfy the condition $ A{x^2} = Ax$ for every $ x \in A$.

References [Enhancements On Off] (What's this?)

  • [1] B. Aupetit, Propriétés spectrales des algèbres de Banach, Lecture Notes in Math., vol. 735, Springer-Verlag, Berlin, Heidelberg and New York, 1979. MR 549769 (81i:46055)
  • [2] V. A. Belfi and R. S. Doran, Norm and spectral characterizations in Banach algebras, Enseign. Math. (2) 26 (1980), 103-130. MR 590510 (81j:46071)
  • [3] F. F. Bonsall and J. Duncan, Complete normed algebras, Ergebnisse der Math. und ihrer Grenzgebiete, Springer-Verlag, Berlin and New York, 1973. MR 0423029 (54:11013)
  • [4] J. Duncan and A. Tullo, Finite dimensionality, nilpotents and quasinilpotents in Banach algebras, Proc. Edinburgh Math. Soc. Ser. 2 21 (1974), 45-46. MR 0344892 (49:9631)
  • [5] C. Le Page, Sur quelques conditions entrainant la commutativité dans les algèbres de Banach, C.R. Acad. Sci. Paris Ser. A 265 (1967), 235-237. MR 0226409 (37:1999)
  • [6] M. Oudadess, Commutativité de certaines algèbres de Banach, Rapports de Recherche du D.M.S., Univ. de Montreal, 1983, pp. 82-85.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46J35

Retrieve articles in all journals with MSC: 46J35

Additional Information

Article copyright: © Copyright 1986 American Mathematical Society

American Mathematical Society