Radical Banach Algebras and Automatic Continuity

Proceedings of a Conference Held at California State University Long Beach, July 17-31, 1981
1983
ISBN: 978-3-540-11985-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 975, 470 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1470 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Bachar, J. M.

Bade, W. G.

Thomas, M. P.

Curtis, P.C. Jr.

Dales, H. G.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik

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.