Radical Banach algebras and automatic continuity : proceedings of a conference held at California State University, Long Beach, July 17-31, 1981

Edited By J.m. Bachar ... [et Al.]. Includes Bibliographical References. 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