Semi-simplicity of some semi-prime Banach algebras.
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Small deformations of topological algebras
Mati Abel, Krzysztof Jarosz (2003)
Studia Mathematica
We investigate stability of various classes of topological algebras and individual algebras under small deformations of multiplication.
Some observations on local uniform boundedness principles
James D. Stein (1991)
Czechoslovak Mathematical Journal
Some observations on local uniform boundedness principles. II
James D. Stein (1993)
Czechoslovak Mathematical Journal
Some simple proofs in holomorphic spectral theory
Graham R. Allan (2007)
Banach Center Publications
This paper gives some very elementary proofs of results of Aupetit, Ransford and others on the variation of the spectral radius of a holomorphic family of elements in a Banach algebra. There is also some brief discussion of a notorious unsolved problem in automatic continuity theory.
Spatiality of derivations of Fréchet GB*-algebras
Martin Weigt, Ioannis Zarakas (2015)
Studia Mathematica
We show that every continuous derivation of a countably dominated Fréchet GB*-algebra A is spatial whenever A is additionally an AO*-algebra.
Stable inverse-limit sequences and automatic continuity
Graham Allan (2000)
Studia Mathematica
The elementary theory of stable inverse-limit sequences, introduced in stable inverse-limit sequences, is used to extend the 'stability lemma' of automatic continuity theory.
Sur la continuité automatique des épimorphismes dans les -algèbres de Banach.
Oukhtite, L., Tajmouati, A., Tidli, Y. (2004)
International Journal of Mathematics and Mathematical Sciences
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