Topological algebras of rapidly decreasing matrices and generalizations

Details Topological algebras of rapidly decreasing matrices and generalizations Topological algebras of rapidly decreasing matrices and generalizations

2010-12-16

arxiv.org/abs/1012.3596v3

Mathematics

Functional Analysis

5 pages, LaTeX; v3: 2 misprints corrected

Scientific paper

It is a well-known fact in K-theory that the rapidly decreasing matrices of
countable size form an associative topological algebra whose set of
quasi-invertible elements is open, and such that the quasi-inversion map is
continuous. We generalize these conclusions to further algebras of weighted
matrices with entries in a Banach algebra.

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