Automatic Continuity of 3-Homomorphisms on Banach Algebras
Bulletin of the Malaysian Mathematical Society, Tome 30 (2007) no. 2
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A linear map φ : A → B between (Banach) algebras is called 3-homomorphism if φ(abc)= φ(a) φ(b) φ(c) for each a, b, c ∈ A . We investigate 3-homomorphisms on Banach algebras with bounded approximate identities and establish in two ways (for unital and non-unital cases) that every involution preserving homomorphism between C * -algebras is norm decreasing.
Classification :
Primary 47B48, Secondary 46L05, 16Wxx
@article{BMMS_2007_30_2_a9,
author = {Janko Bracic and Mohammad Sal Moslehian},
title = {Automatic {Continuity} of {3-Homomorphisms} on {Banach} {Algebras}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2007},
volume = {30},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2007_30_2_a9/}
}
Janko Bracic; Mohammad Sal Moslehian. Automatic Continuity of 3-Homomorphisms on Banach Algebras. Bulletin of the Malaysian Mathematical Society, Tome 30 (2007) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2007_30_2_a9/