H. Dales

activity

20042018

collaborators

9 papers

math.FA2018

Lattice homomorphisms in harmonic analysis

H. Garth Dales, Marcel de Jeu

Let $S$ be a non-empty, closed subspace of a locally compact group $G$ that is a subsemigroup of $G$ . Suppose that $X, Y$ , and $Z$ are Banach lattices that are vector sublattices o…

math.FA2015

Normed algebras of differentiable functions on compact plane sets

J. F. Feinstein, H. G. Dales

We investigate the completeness and completions of the normed algebras $D^{(1)} (X)$ for perfect, compact plane sets $X$ . In particular, we construct a radially self-absorbing, comp…

math.FA2014

Maximal ideals in commutative Banach algebras

H. Garth Dales

We show that each maximal ideal in a commutative Banach algebra has codimension 1.

math.FA2013

Equivalence of multi-norms

H. Garth Dales, Matthew Daws, Hung Le Pham +1

The theory of multi-norms was developed by H.\ G.\ Dales and M.\ E.\ Polyakov in a memoir that was published in \emph{Dissertationes Mathematicae}. In that memoir, the notion of `e…

math.FA2012

Radicals of some semigroup algebras

H. G. Dales, D. Strauss, Y. Zelenyuk +1

In this paper we seek to determine the Jacobson radical of certain algebras based on semigroups, and in particular on the semigroups $(β S, □)$ , where $S$ is a cancellative, coun…

math.FA2012

Generators of maximal left ideals in Banach algebras

H. G. Dales, W. Żelazko

In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, comple…