Weighted convolution algebras and their homomorphisms
Sandy Grabiner (1994)
Banach Center Publications
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Displaying similar documents to “Continuity of derivations from radical convolution algebras”
Weighted convolution algebras and their homomorphisms
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Simplicity for a class of convolution algebras.
P. Aizley (1980)
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An analytic approach to the spectral characterization of the radical
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We give a simple complex-variable proof of an old result of Zemánek and Le Page on the radical of a Banach algebra. Incidentally, the argument also proves a recent result of Harris and Kadison.
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We consider a continuous derivation D on a Banach algebra 𝓐 such that p(D) is a compact operator for some polynomial p. It is shown that either 𝓐 has a nonzero finite-dimensional ideal not contained in the radical rad(𝓐) of 𝓐 or there exists another polynomial p̃ such that p̃(D) maps 𝓐 into rad(𝓐). A special case where Dⁿ is compact is discussed in greater detail.
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Morak, Bettina (1999)
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Sands, A.D. (1997)
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Erhard Neher (1992)
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Weinert, H.J., Wiegandt, R. (2003)
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Aspects of the theory of derivations
Gerard Murphy (1994)
Banach Center Publications
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We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.