Isomorphisms and isometries of spaces of continuous functions (12rit146)


Garth Dales (Lancaster University)

Frederick Dashiell (University of California, Los Angeles)

Anthony To-Ming Lau (University of Alberta)

Dona Strauss (University of Leeds)


The Banff International Research Station will host the "Isomorphisms and isometries of spaces of continuous functions" workshop from May 13th to May 20th, 2012.

Banach spaces are an infinite-dimensional generalization of normal finite-dimensional space. They are studied by considering their first and second `dual' spaces.

We shall consider the Banach space C(K) of all continuous functions on certain sets K such as the unit interval. In two memoirs we have considered the first and second dual spaces of the spaces C(K). NOw e wish to consider which spaces of the form C(K) are the first or second duals of some other Banach sapces

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).