Radical Banach Algebras and Automatic Continuity

Proceedings of a Conference Held at California State University Long Beach, July 17-31, 1981
Herausgegeben:Bachar, J. M.; Bade, W. G.; Curtis, P. C.; Dales, H. G.; Thomas, M. P.

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 975
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-11985-2
• 1983
• Seitenzahl: 480
• Erscheinungstermin: 1. Februar 1983
• Englisch
• Abmessung: 235mm x 155mm x 26mm
• Gewicht: 754g
• ISBN-13: 9783540119852
• ISBN-10: 354011985X
• Artikelnr.: 23569357

Inhaltsangabe

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.