On the embedding of Schwartz spaces into product spaces

Randtke, Daniel J.

doi:10.1090/S0002-9939-1976-0410316-7

On the embedding of Schwartz spaces into product spaces
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by Daniel J. Randtke PDF

Proc. Amer. Math. Soc. 55 (1976), 87-92 Request permission

Abstract:

Every Schwartz space is embeddable into some sufficiently high power ${E^I}$ of a given Banach space $E$ if and only if $E$ contains $l_n^\infty$ uniformly.

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