Topological stable rank of $\mathcal{E}'(\mathbb{R})$

Amol Sasane

Topological stable rank of $\mathcal{E}'(\mathbb{R})$

Functional Analysis 2019-10-04 v3 K-Theory and Homology

Authors: Amol Sasane

Abstract

The set $\mathcal{E}'(\mathbb{R})$ of all compactly distributions, with the operations of addition, convolution, multiplication by complex scalars, and with the strong dual topology is a topological algebra. In this article, it is shown that the topological stable rank of $\mathcal{E}'(\mathbb{R})$ is 2.

Keywords

matrix rank

Cite

@article{arxiv.1810.00241,
  title  = {Topological stable rank of $\mathcal{E}'(\mathbb{R})$},
  author = {Amol Sasane},
  journal= {arXiv preprint arXiv:1810.00241},
  year   = {2019}
}

Comments

12 pages. In the new version, the typos which were discovered in the first version have been corrected, and an alternative proof of Prop.4.1 (suggested by Peter Wagner) has been added

Topological stable rank of $\mathcal{E}'(\mathbb{R})$

Abstract

Keywords

Cite

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