Miniconference on Operators in Analysis

This volume contains papers and problems presented to the Conference on Automatic Continuity and Banach Algebras, held at the Australian National University, January 2 - 20, 1989. The timing and duration of this conference was designed to fit into the January break of many northern hemisphere universities, yet to have a workshop environment to enhance interaction between participants. The articles are essentially expanded versions of the talks given at the conference, with the exception of several papers which are appearing elsewhere.

Power-bounded elements in a Banach algebra and a theorem of Gelfand -- Locally inner derivations -- The Wedderburn decomposition for quotient algebras arising from sets of non-synthesis -- The Raikov convolution measure algebra -- Banach algebra techniques and extensions of operator-valued representations -- Complentation problems concerning the radical of a commutative amenable Banach algebra -- On norms of Algebras -- Weak (F)-amenability of R(X) -- Banach algebras generated by analytic semigroups having compactness properties on vertical lines -- Automorphisms of weighted measure algebras -- Semigroups and the structure of weighted convolution algebras -- Using Banach algebras to do analysis with the umbral calculus -- Constructions preserving weak amenability -- Some remarks about ideas and results of topological homology -- Banach algebras occurring in spectral theory -- Intertwining with isometries -- Some problems concerning reflexive operator algebras -- Remarks on semi-simple reflexive algebras -- Subalgebras of amenable algebras -- Rings of quotients of ultraprime Banach algebras: with applications to elementary operators -- Derivations of convolution algebras -- Function theory on Banach algebras -- Factorization in group algebras -- Ultraprime group algebras -- The norms of powers of functions in the Volterra algebra, II -- Open problems -- Long beach problems.