An Embedding Theorem for Separable Locally Convex Spaces
- 1 January 1971
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 14 (1) , 119-120
- https://doi.org/10.4153/cmb-1971-023-1
Abstract
A well-known embedding theorem of Banach and Mazur [1, p. 185] states that every separable Banach space is isometrically isomorphic to a subspace of C[0, 1], establishing C[0, 1] as a universal separable Banach space. The embedding theorem one encounters in a course in topological vector spaces states that every Hausdorff locally convex space (l.c.s.) is topologically isomorphic to a subspace of a product of Banach spaces.Keywords
This publication has 1 reference indexed in Scilit:
- Power problems in abstract spacesDuke Mathematical Journal, 1944