A Pe{\l}czy\'nski-Vogt decomposition result for (PLS)-spaces and sequence space representations
Functional Analysis
2025-12-01 v1
Abstract
We establish a Pelczy\'nski-Vogt decomposition result for (PLS)-type power series spaces of infinite type. By combining this result with the theory of Gabor frames, we obtain sequence space representations for multiplier spaces of Gelfand-Shilov spaces of Beurling type.
Keywords
Cite
@article{arxiv.2511.23130,
title = {A Pe{\l}czy\'nski-Vogt decomposition result for (PLS)-spaces and sequence space representations},
author = {Andreas Debrouwere and Lenny Neyt},
journal= {arXiv preprint arXiv:2511.23130},
year = {2025}
}
Comments
28 pages