Completing the Valdivia–Vogt tables of sequence-space representations of spaces of smooth functions and distributions

In the Valdivia–Vogt structure tables presented in Ortner and Wagner (J Math Anal Appl 404(1):1–10, 2013 ) there are two gaps. We fill in these gaps by proving the representations D F ≅ s ⊗ ^ π C ( N ) and B ˙ ′ ≅ s ′ ⊗ ^ c 0 , where D F is a pre-dual space of the space of distributions of finite or...

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Bibliographic Details
Published in:	Monatshefte für Mathematik Vol. 177; no. 1; pp. 1 - 14
Main Author:	Bargetz, Christian
Format:	Journal Article
Language:	English
Published:	Vienna Springer Vienna 01.05.2015
Subjects:	Mathematics Mathematics and Statistics Distributions of finite order Distributions vanishing at infinity Sequence-space representation 46E10 46A45 46F05
ISSN:	0026-9255, 1436-5081
Online Access:	Get full text
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Summary:	In the Valdivia–Vogt structure tables presented in Ortner and Wagner (J Math Anal Appl 404(1):1–10, 2013 ) there are two gaps. We fill in these gaps by proving the representations D F ≅ s ⊗ ^ π C ( N ) and B ˙ ′ ≅ s ′ ⊗ ^ c 0 , where D F is a pre-dual space of the space of distributions of finite order introduced by J. Horváth and the space B ˙ ′ is the space of distributions vanishing at infinity introduced by L. Schwartz.
ISSN:	0026-9255 1436-5081
DOI:	10.1007/s00605-014-0650-2