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
Weighted Convolution Algebras without Bounded Approximate Identities.
M. Despic, F. Ghahramani, S. Grabiner (1995)
Mathematica Scandinavica
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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
Graham R. Allan (2008)
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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.
Transfinite nilpotence defines a trivial radical
B. J. Gardner (1975)
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Polynomially compact derivations on Banach algebras
Matej Brešar, Yuri V. Turovskii (2009)
Studia Mathematica
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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.
On the radical theory of semirings.
Morak, Bettina (1999)
Beiträge zur Algebra und Geometrie
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Radicals which coincide on a class of rings.
Sands, A.D. (1997)
Mathematica Pannonica
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On the radical of J*-triples.
Erhard Neher (1992)
Mathematische Zeitschrift
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Derivations, Commutators and the Radical.
Vlastimil Pták (1977/78)
Manuscripta mathematica
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A new Kurosh-Amitsur radical theory for proper semifields. II.
Weinert, H.J., Wiegandt, R. (2003)
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Invariant subsets of nonsynthesis Leptin algebras and nonsymmetry
A. Hulanicki (1980)
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Some notes on upper radical classes
Propes, R.E. (1975)
Portugaliae mathematica
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Multiple radical theories
B. J. Gardner (1979)
Colloquium Mathematicae
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Decomposability of point measures in generalized convolution algebras
J. Kucharczak (1988)
Colloquium Mathematicae
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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.