Generalized function algebras as sequence space algebras
Functional Analysis
2019-04-01 v1
Abstract
A topological description of various generalized function algebras over corresponding basic locally convex algebras is given. The framework consists of algebras of sequences with appropriate ultra(pseudo)metrics defined by sequences of exponential weights. Such an algebra with embedded Dirac's delta distribution induces discrete topology on the basic space. This result is in analogy to Schwartz' impossibility result concerning multiplication of distributions.
Cite
@article{arxiv.math/0206039,
title = {Generalized function algebras as sequence space algebras},
author = {Antoine Delcroix and Maximilian F. Hasler and Stevan Pilipović and Vincent Valmorin},
journal= {arXiv preprint arXiv:math/0206039},
year = {2019}
}
Comments
10 pages