On the "three-space-problem" for spaces of polynomials


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

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