Invariance and normality of projections in the dual of Banach algebras

Authors

  • Ana L. Barrenechea Universidad Nacional Centro de la Provincia
  • Carlos Peña Universidad Nacional Centro Provincia de Buenos Aires

DOI:

https://doi.org/10.53733/132

Keywords:

Arens products, invariant projections, normal projections

Abstract

We study the classes of invariant and natural projections in the dual of a Banach algebra $A$. These type of projections are relevant by their connections with the existence problem of bounded approximate identities in closed ideals of Banach algebras. It is known that any invariant projection is a natural projection. In this article we consider the issue of when a natural projection is an invariant projection.

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Published

14-12-2021

How to Cite

Barrenechea, A. L., & Peña, C. (2021). Invariance and normality of projections in the dual of Banach algebras. New Zealand Journal of Mathematics, 51, 115–118. https://doi.org/10.53733/132

Issue

Vol. 51 (2021)

Section

Articles