PreprintarXiv licencearXiv
Subspaces of L1 spanned by the even and odd levels of the Haar system
Abstract
We prove that the closed subspace of L1[0,1] spanned by the even (respectively, odd) levels of the Haar system is not isomorphic to L1[0,1].
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BibTeX
@misc{speckhofer2026subspaces,
title = {{Subspaces of $L^1$ spanned by the even and odd levels of the Haar system}},
author = {Thomas Speckhofer},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16735},
eprint = {2609.16735},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16735},
}
RIS
TY - UNPB
TI - Subspaces of L^1 spanned by the even and odd levels of the Haar system
AU - Thomas Speckhofer
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.16735
UR - https://arxiv.org/abs/2609.16735
AB - We prove that the closed subspace of L^1[0,1] spanned by the even (respectively, odd) levels of the Haar system is not isomorphic to L^1[0,1].
ER -