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

John M. Bachar, William G. Bade, Philip C. Curtis, H. Garth Dales, Marc P. Thomas (eds.)9780387119854, 0-387-11985-X

Table of contents :
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