A non-unital $^\ast $-algebra has U$C^{\ast }$NP if and only if its unitization has U$C^{\ast }$NP

DOI10.1090/S0002-9939-2013-11725-9zbMath1283.46035MaRDI QIDQ2846916

H. J. Kanani, H. V. Dedania

Publication date: 4 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(C^\ast\)-algebraspectral norm\(C^\ast\)-normnon-commutative \(\ast\)-algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) General theory of topological algebras (46H05) General theory of topological algebras with involution (46K05)

Cites Work

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• Norms on unitizations of Banach algebras revisited
• Uniqueness of the uniform norm and adjoining identity in Banach algebras
• The Properties ∗ -Regularity and Uniqueness of C ∗ -Norm in a General ∗ -Algebra
• A Course in Commutative Banach Algebras
• On the uniqueness of uniform norms and C^*-norms

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