1976
DOI: 10.1090/s0002-9939-1976-0410316-7
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On the embedding of Schwartz spaces into product spaces

Abstract: Abstract.Every Schwartz space is embeddable into some sufficiently high power E' of a given Banach space E if and only if E contains /"°°u niformly.In [13] Saxon showed that every nuclear space can be embedded in some sufficiently high power of every Banach space. In [2] Diestel and Lohman showed that a locally convex space that is embeddable in some sufficiently high power of every Banach space is a Schwartz space. In [11] we showed that every Schwartz space can be embedded in some sufficiently high power of … Show more

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Cited by 3 publications
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“…In particular, every Schwartz space embeds into a sufficiently high power of c 0 or l ∞ -an old result of Randtke [9].…”
Section: Corollariesmentioning
confidence: 98%
“…In particular, every Schwartz space embeds into a sufficiently high power of c 0 or l ∞ -an old result of Randtke [9].…”
Section: Corollariesmentioning
confidence: 98%