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On a Bornological Structure in Infinite-Dimensional Holomorphy

✍ Scribed by S. Bjon; M. Lindström

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
595 KB
Volume
139
Category
Article
ISSN
0025-584X

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✦ Synopsis

The bornology (b) of bounded subsets with respect to continuous convergence is used on spnces of holomorphic functions. It is shown that Hom,,,Hb( U) 2 U for a circled convex open subset U of a complete nucleiir space. Exponential laws for spaces of holomorphic functions with bornological structures are proved and the connection with COLOYBEAU'S S r ~v a holomorphic functions is established.

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