On algebras which are inductive limits of Banach spaces
Functional Analysis
2013-04-30 v2
Abstract
We introduce algebras which are inductive limits of Banach spaces and carry inequalities which are counterparts of the inequality for the norm in a Banach algebra. We then define an associated Wiener algebra, and prove the corresponding version of the well-known Wiener theorem. Finally, we consider factorization theory in these algebra, and in particular, in the associated Wiener algebra.
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Cite
@article{arxiv.1302.3372,
title = {On algebras which are inductive limits of Banach spaces},
author = {Daniel Alpay and Guy Salomon},
journal= {arXiv preprint arXiv:1302.3372},
year = {2013}
}
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