On some properties of Lévy vectors and their variations

DOI10.1007/s10986-023-09593-0zbMath1529.40001OpenAlexW4382238039MaRDI QIDQ6115842

Andrzej Nowik, Paweł Klinga

Publication date: 10 August 2023

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-023-09593-0

zbMATH Keywords

Lévy-Steinitz theoremconditionally convergent seriesLévy vectorsrearrangement of termsvector series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Cites Work

• Rearranging series of vectors on a small set
• Rearrangement of conditionally convergent series on a small set
• Extendability to summable ideals
• The Remarkable Theorem of Levy and Steinitz
• Ideal convergence of bounded sequences
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