On the paper: Numerical radius preserving linear maps on Banach algebras

M. El Azhari

On the paper: Numerical radius preserving linear maps on Banach algebras

Functional Analysis 2017-10-17 v2

Authors: M. El Azhari

Abstract

We give an example of a unital commutative complex Banach algebra having a normalized state which is not a spectral state and admitting an extreme normalized state which is not multiplicative. This disproves two results by Golfarshchi and Khalilzadeh.

Keywords

Banach algebras numerical radius linear maps normalized states spectral states extreme states counterexamples

Cite

@article{arxiv.1512.06847,
  title  = {On the paper: Numerical radius preserving linear maps on Banach algebras},
  author = {M. El Azhari},
  journal= {arXiv preprint arXiv:1512.06847},
  year   = {2017}
}

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3 pages

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