Disjointly almost trivial unbounded functionals

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1. Verfasser: Storozhuk, Konstantin
Format: Preprint
Veröffentlicht: 2025
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author Storozhuk, Konstantin
author_facet Storozhuk, Konstantin
contents We show that there exist unbounded functionals on the spaces of sequences that take at most one nonzero value on an arbitrary family of elements whose supports are pairwise disjoint.
format Preprint
id arxiv_https___arxiv_org_abs_2512_07227
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Disjointly almost trivial unbounded functionals
Storozhuk, Konstantin
Functional Analysis
46B42, 46B50, 47A05
We show that there exist unbounded functionals on the spaces of sequences that take at most one nonzero value on an arbitrary family of elements whose supports are pairwise disjoint.
title Disjointly almost trivial unbounded functionals
topic Functional Analysis
46B42, 46B50, 47A05
url https://arxiv.org/abs/2512.07227