Linear topological structure of spaces of Whitney functions defined on sequences of points

Abstract

In this work we consider the spaces of Whitney functions defined on convergent sequences of points.By means of linear topological invariants we analyze linear topological structure of these spaces .Using diametral dimension we found a continuum of pairwise non-isomorphic spaces for so called regular type and proved that more refined invariant compound invariants are not stronger than diametral dimension in this case . On the other hand, we get the same diametral dimension for the spaces of Whitney functions defined on irregular compact sets.