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Bounded linear operators into vector-valued Banach function spaces

✍ Scribed by N.E. Gretsky; J.J. Uhl Jr.

Book ID
108495253
Publisher
Elsevier Science
Year
1974
Weight
281 KB
Volume
77
Category
Article
ISSN
1385-7258

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Embedding vector-valued Besov spaces int
Embedding vector-valued Besov spaces into spaces of Ξ³ -radonifying operators
✍ Nigel Kalton; Jan van Neerven; Mark Mark; Lutz Weis πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 213 KB

## Abstract It is shown that a Banach space __E__ has type __p__ if and only for some (all) __d__ β‰₯ 1 the Besov space __B__^(1/__p__ – 1/2)__d__^ ~__p__,__p__~ (ℝ^__d__^ ; __E__) embeds into the space __Ξ³__ (__L__^2^(ℝ^__d__^ ), __E__) of __Ξ³__ ‐radonifying operators __L__^2^(ℝ^__d__^ ) β†’ __E__. A