Radical Banach Algebras and Automatic Continuity: Proceedings of a Conference Held at California State University, Long Beach, July 17–31, 1981

Introduction....Pages 1-2
Elements for a classification of commutative radical Banach algebras....Pages 4-65
Quasimultipliers, representations of H ∞ , and the closed ideal problem for communtative Banach algebras....Pages 66-162
The theory of Cohen elements....Pages 163-178
Convolution algebras on the real line....Pages 180-209
Bilaterally translation-invariant subspaces of weighted L p (R)....Pages 210-213
A solution of the translation-invariant subspace problem for weighted L p on R, ℝ or ℝ + ....Pages 214-226
Multipliers of weighted l 1 -algebras....Pages 227-247
Ideal structure in radical sequence algebras....Pages 248-257
Approximation in the radical algebra l 1 (ω n ) when {ω n } is star-shaped....Pages 258-272
A class of unicellular shifts which contains non-strictly cyclic shifts....Pages 273-276
An inequality involving product measures....Pages 277-279
The norms of powers of functions in the volterra algebra....Pages 280-281
Weighted convolution algebras as analogues of Banach algebras of power series....Pages 282-289
Commutative Banach algebras with power-series generators....Pages 290-294
Weighted discrete convolution algebras....Pages 295-300
Some radical quotients in harmonic analysis....Pages 301-308
A Banach algebra related to the disk algebra....Pages 309-311
Automatic continuity conditions for a linear mapping from a banach algebra onto a semi-simple Banach algebra....Pages 313-316
The uniqueness of norm problem in Banach algebras with finite dimensional radical....Pages 317-327
Derivations in commutative Banach algebras....Pages 328-333
Automatic continuity of homomorphisms into Banach algebras....Pages 334-339
On the intersection of the principal ideals generated by powers in a Banach algebra....Pages 340-341
Automatic continuity for operators of local type....Pages 342-355
Continuity properties of C k -homomorphisms....Pages 356-374
Continuity of homomorphisms from C*-algebras and other Banach algebras....Pages 375-396
Cofinite ideals in Banach algebras, and finite-dimensional representations of group algebras....Pages 397-407
The continuity of derivations from group algebras and factorization in cofinite ideals....Pages 408-421
Some problems and results on translation — Invariant linear forms....Pages 423-444
On the uniqueness of Riemann integration....Pages 445-450
The continuity of traces....Pages 451-458
V. open questions....Pages 460-470