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arXiv · 1407.5259

Contractibility of ultrapower of Frechet algebras

E. Feizi·J. Soleymani
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Abstract

The aim of this article is to study a number of relationship between Frechet algebra $\mathcal{A}$ and its ultrapower $(\mathcal{A})_{\mathcal{U}}$. We give a characterization in some aspects such as locally bounded approximate identity. We consider the notion of contractibility of ultrapower of Frechet algebra, and we show that if $(\mathcal{A})_{\mathcal{U}}$ has approximation property with good ultrafilter $\mathcal{U}$ then $\mathcal{A}$ is contractible if and only if $(\mathcal{A})_{\mathcal{U}}$ is contractible.

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BibTeXRIS

E. Feizi, J. Soleymani. 2014-07-20. Contractibility of ultrapower of Frechet algebras. https://arxiv.org/abs/1407.5259

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