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arXiv · 2511.23130

A Pe{\l}czy\'nski-Vogt decomposition result for (PLS)-spaces and sequence space representations

Andreas Debrouwere·Lenny Neyt
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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.

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Andreas Debrouwere, Lenny Neyt. 2025-11-28. A Pe{\l}czy\'nski-Vogt decomposition result for (PLS)-spaces and sequence space representations. https://arxiv.org/abs/2511.23130

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