@inproceedings{7ce98055cc2645fb86a37e8e32481672,

title = "Remarks on the Rademacher-Menshov Theorem",

abstract = "We describe Salem{\textquoteright}s proof of the Rademacher-Menshov Theorem, which shows that one constant works for all orthogonal expansions in all L2-spaces. By changing the emphasis in Salem{\textquoteright}s proof we produce a lower bound for sums of vectors coming from bi-orthogonal sets of vectors in a Hilbert space. This inequality is applied to sums of columns of an invertible matrix and to Lebesgue constants.",

keywords = "orthogonal expansion, Bessel{\textquoteright}s inequality, bi-orthogonal, Lebesgue constants",

author = "Christopher Meaney",

year = "2007",

language = "English",

isbn = "0731552067",

series = "Proceedings of the Centre for Mathematics and Its Applications, Australian National University",

publisher = "Centre for Mathematics and its Applications, Mathematical Sciences Institute, Australian National University",

pages = "100--110",

editor = "Alan McIntosh and Pierre Portal",

booktitle = "Proceedings of the CMA/AMSI Research Symposium 'Asymptotic geometric analysis, harmonic analysis and related topics', (Murramarang, NSW, February 2006",

note = "CMA/AMSI Research Symposium (2006) ; Conference date: 21-02-2006 Through 24-02-2006",

}