Radical Banach Algebras and Automatic Continuity

Inhaltsverzeichnis

• Elements for a classification of commutative radical Banach algebras.
• Quasimultipliers, representations of H?, and the closed ideal problem for communtative Banach algebras.
• The theory of Cohen elements.
• Convolution algebras on the real line.
• Bilaterally translation-invariant subspaces of weighted Lp(R).
• A solution of the translation-invariant subspace problem for weighted Lp on R, ? or ?+.
• Multipliers of weighted l 1-algebras.
• Ideal structure in radical sequence algebras.
• Approximation in the radical algebra l1(? n) when {? n} is star-shaped.
• A class of unicellular shifts which contains non-strictly cyclic shifts.
• An inequality involving product measures.
• The norms of powers of functions in the volterra algebra.
• Weighted convolution algebras as analogues of Banach algebras of power series.
• Commutative Banach algebras with power-series generators.
• Weighted discrete convolution algebras.
• Some radical quotients in harmonic analysis.
• A Banach algebra related to the disk algebra.
• Automatic continuity conditions for a linear mapping from a banach algebra onto a semi-simple Banach algebra.
• The uniqueness of norm problem in Banach algebras with finite dimensional radical.
• Derivations in commutative Banach algebras.
• Automatic continuity of homomorphisms into Banach algebras.
• On the intersection of the principal ideals generated by powers in a Banach algebra.
• Automatic continuity for operators of local type.
• Continuity properties of Ck-homomorphisms.
• Continuity of homomorphisms from C*-algebras and other Banach algebras.
• Cofinite ideals in Banach algebras, and finite-dimensional representations of group algebras.
• The continuity of derivations from group algebras and factorization in cofinite ideals.
• Some problems and results on translation —Invariant linear forms.
• On the uniqueness of Riemann integration.
• The continuity of traces.
• V. open questions.