Disjointly almost trivial unbounded functionals
Functional Analysis
2025-12-09 v1
Abstract
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.
Cite
@article{arxiv.2512.07227,
title = {Disjointly almost trivial unbounded functionals},
author = {Konstantin Storozhuk},
journal= {arXiv preprint arXiv:2512.07227},
year = {2025}
}
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2 pages