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A note on the imbedding theorem of Browder and Ton
Authors:J Berkovits
Institution:Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FIN-90014 Oulu, Finland
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.

Keywords:Compact imbedding
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