A note on the imbedding theorem of Browder and Ton

Berkovits, J.

doi:10.1090/S0002-9939-03-07094-1

A note on the imbedding theorem of Browder and Ton
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by J. Berkovits

Proc. Amer. Math. Soc. 131 (2003), 2963-2966

DOI: https://doi.org/10.1090/S0002-9939-03-07094-1

Published electronically: April 9, 2003

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Abstract:

The imbedding theorem of Browder and Ton states that for any real separable Banach space $X$ there exist a real separable Hilbert space $H$ and a compact linear injection $\psi :H\to X$ such that $\psi (H)$ is dense in $X.$ We shall give a short and elementary new proof to this result. We also briefly discuss the corresponding result without the completeness assumption.

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