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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 1972 Volume 12, Issue 3, Pages 275–280 (Mi mzm9879)
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Rearrangements of series in a Hilbert space

F. A. Talalyan

Erevan State University

Abstract: A theorem on rearrangements of numerical series, proved by Agnew, is extended to series in a Hilbert space. A complete proof is given of Orlicz's theorem on unconditionally convergent series in a Hilbert space.

UDC: 513.88

Received: 03.12.1971


 English version: Mathematical Notes, 1972, 12:3, 599–602

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