A new proof for the bornologicity of the space of slowly increasing functions

作者：Larcher Julian^*; Wengenroth Jochen

来源：Bulletin of the Belgian Mathematical Society Simon Stevin, 2014, 21(5): 887-894.

• derived projective limit functor
• slowly increasing functions
• rapidly decreasing distributions
• sequence space representations

A. Grothendieck proved at the end of his thesis that the space O-M of slowly increasing functions and the space O%26apos;(C) of rapidly decreasing distributions are bornological. Grothendieck%26apos;s proof relies on the isomorphy of these spaces to a sequence space and we present the first proof that does not utilize this fact by using homological methods and, in particular, the derived projective limit functor.

• 出版日期2014-12