Work

Some New Sharp Boundedness Result Concerning Linear functionals on Banach spaces

Year: 2026

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.06872

Authors: Persson, L. -E., Tsagareishvili, V., Tutberidze, G., Cagareishvili, G.

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Shota Rustaveli National Science Foundation

OpenAlex ID: W7221026474

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