PreprintCC BY 4.0arXiv
Some New Sharp Boundedness Result Concerning Linear functionals on Banach spaces
Abstract
In this paper we state, prove, and discuss some new boundedness results concerning sequences of linear functionals of functions from the Lipschitz class Lip1 and general orthonormal systems. It is also proved that these results are, in a sense, the best possible.
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BibTeX
@misc{persson2026some,
title = {{Some New Sharp Boundedness Result Concerning Linear functionals on Banach spaces}},
author = {L. -E. Persson and V. Tsagareishvili and G. Tutberidze and G. Cagareishvili},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.06872},
eprint = {2610.06872},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.06872},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Some New Sharp Boundedness Result Concerning Linear functionals on Banach spaces
AU - L. -E. Persson
AU - V. Tsagareishvili
AU - G. Tutberidze
AU - G. Cagareishvili
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.06872
UR - https://arxiv.org/abs/2610.06872
AB - In this paper we state, prove, and discuss some new boundedness results concerning sequences of linear functionals of functions from the Lipschitz class Lip_1 and general orthonormal systems. It is also proved that these results are, in a sense, the best possible.
ER -