Details

Autor(en) / Beteiligte

• Larcher, Julian
• Wengenroth, Jochen

Titel

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

Ist Teil von

• Bulletin of the Belgian Mathematical Society, Simon Stevin, 2014-12, Vol.21 (5), p.887-894

Ort / Verlag

Belgian Mathematical Society

Erscheinungsjahr

2014

Link zum Volltext

Quelle

Electronic Journals Library

Beschreibungen/Notizen

• A. Grothendieck proved at the end of his thesis that the space [O.sub.M] of slowly increasing functions and the space [O'.sub.C] of rapidly decreasing distributions are bornological. Grothendieck'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. Key words and phrases : derived projective limit functor * slowly increasing functions * rapidly decreasing distributions * sequence space representations.