Banach Algebras and Applications: Proceedings of the International Conference held at the University of Oulu, July 3-11, 2017 (De Gruyter Proceedings in Mathematics)

Banach algebras is a multilayered area in mathematics with many ramifications. With a diverse coverage of different schools working on the subject, this proceedings volume reflects recent achievements in areas such as Banach algebras over groups, abstract harmonic analysis, group actions, amenability, topological homology, Arens irregularity, C*-algebras and dynamical systems, operator theory, operator spaces, and locally compact quantum groups. Dedication Preface Contents Beurling’s Theorem on locally compact abelian groups Fréchet algebras with a dominating Hilbert algebra norm Relations between ideals of the Figà-Talamanca Herz algebra A p (G) of a locally compact group G and ideals of A p (H) of a closed subgroup The composition of conditional expectation and multiplication operators On the generation of Arveson weakly continuous semigroups l 1 -bases in Banach algebras and Arens irregularities in harmonic analysis On spectral synthesis in convolution Sobolev algebras on the real line Projective and free matricially normed spaces Banach spaces whose algebras of operators are Dedekind-finite but they do not have stable rank one Invariant Complementation Property and Fixed Point Sets On Power Bounded Elements in the Group von Neumann Algebra Subspaces that can and cannot be the kernel of a bounded operator on a Banach space Towards a sheaf cohomology theory for C*-algebras Tame functionals on Banach algebras Left Ideals of Banach Algebras and Dual Banach Algebras