M. El Azhari

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20132020

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Showing 2015Show all

4 papers · 1 filter

math.FA2015

A non-unital algebra has UUNP iff its unitization has UUNP

M. El Azhari

Let $A$ be a non-unital Banach algebra, S. J. Bhatt and H. V. Dedania showed that $A$ has the unique uniform norm property (UUNP) if and only if its unitization has UUNP. Here we p…

math.FA2015

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

M. El Azhari

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 mul…

math.FA2015

Functional continuity of unital $B_{0}$ -algebras with orthogonal bases

M. El Azhari

Let $A$ be a unital $B_{0}$ -algebra with an orthogonal basis, then every multiplicative linear functional on $A$ is continuous. This gives an answer to a problem posed by Z. Sawon…

math.FA2015

Travaux de Husain et al. sur la continuité automatique des caractères

M. El Azhari

We give a survey of Husain, Ng and Liang's results concerning the automatic continuity of algebra homomorphisms. We also give the improvements obtained by Joseph, Akkar, Oudadess,…

A non-unital algebra has UUNP iff its unitization has UUNP

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

Functional continuity of unital B0​-algebras with orthogonal bases

Travaux de Husain et al. sur la continuité automatique des caractères

Functional continuity of unital $B_{0}$ -algebras with orthogonal bases