Multi-norms, Banach lattices, and the Fourier Algebra (15rit182)


Garth Dales (Lancaster University)

Anthony To-Ming Lau (University of Alberta)


The Banff International Research Station will host the "Multi-norms, Banach lattices, and the Fourier algebra" workshop in Banff from April 26 to May 3.

Dales and others have been working for some time on a generalization of the notion of a `distance' on a linear space to a sequence of `distances' on successive powers of the linear space; that is, we replace a `norm' by a `multi-norm'. This has led to several publications that include solutions to known problems in functional analysis and, in particular, the theory of operators on Banach lattices.

We now wish to explore the possibility of using these techniques to attack problems in abstract harmonic analysis. The meeting at BIRS seeks to set out a programme of future research in this area.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).