Arabian Journal of Mathematics

, Volume 7, Issue 3, pp 183–187 | Cite as

Stability of 2nd conjugate Banach algebras

  • Ana L. Barrenechea
  • Carlos C. Peña
Open Access


In general the stability of normed algebras is a non hereditary property. We shall prove that second conjugate Banach algebras may be non stable even if the underlying Banach algebra is stable. We shall characterize stability of second conjugate Banach algebras. Finally, we shall study kinds of stability induced on an algebra with an stable second conjugate algebra.

Mathematics Subject Classification

Primary 46H99 Secondary 47B48 



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© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.UNCPBA, FCExactas, Dpto. MatemáticasNUCOMPATandilArgentina

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