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A sum--product theorem in semi-simple commutative Banach algebras

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Publication:1883237
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DOI10.1016/j.jfa.2003.09.009zbMath1079.11007OpenAlexW1993808106MaRDI QIDQ1883237

Mei-Chu Chang

Publication date: 1 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.09.009

zbMATH Keywords

Banach algebrasumsetproduct set


Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Density, gaps, topology (11B05)


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Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition



Cites Work

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  • Estimates for the number of sums and products and for exponential sums over subgroups in fields of prime order.
  • Factorization in generalized arithmetic progressions and application to the Erdős-Szemerédi sum-product problems
  • The Erdős-Szemerédi problem on sum set and product set
  • A sum-product estimate in finite fields, and applications
  • On the Erdős-Volkmann and Katz-Tao ring conjectures
  • On the number of sums and products
  • On the size of $k$-fold sum and product sets of integers
  • Borel subrings of the reals
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