On the "three-space-problem" for spaces of polynomials
Abstract
The problem of when equality between any two of the usual topologies on spaces of homogeneous continuous polynomials on a real or complex locally convex space is a "three-space property" is considered. For all possible cases a positive result or a counterexample is given.
DOI Code:
10.1285/i15900932v17p189
Keywords:
Three-space problem; Spaces of polynomials
Classification:
46A03; 46G20; 46E10
Full Text: PDF