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Smooth extensions of functions on separable Banach spaces

✍ Scribed by D. Azagra; R. Fry; L. Keener


Publisher
Springer
Year
2009
Tongue
English
Weight
192 KB
Volume
347
Category
Article
ISSN
0025-5831

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✍ M.Ann Piech πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 540 KB
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Let E and F be complex Banach spaces. We show that if E has a separable dual, then every holomorphic function from E into F which is bounded on weakly compact sets is bounded on bounded sets.