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VOL. 42 | 2007 Remarks on the Rademacher-Menshov theorem
Christopher Meaney

Editor(s) Alan McIntosh, Pierre Portal

Abstract

We describe Salem’s proof of the Rademacher-Menshov Theorem, which shows that one constant works for all orthogonal expansions in all $L^2$-spaces. By changing the emphasis in Salem’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.

Information

Published: 1 January 2007
First available in Project Euclid: 18 November 2014

zbMATH: 1213.42122
MathSciNet: MR2328515

Rights: Copyright © 2007, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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