Email this article Asymptotic Rank Theorems
- Authors: Storozhuk K.V.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 58, No 4 (2019)
- Pages: 337-344
- Section: Article
- URL: https://journals.rcsi.science/0002-5232/article/view/234150
- DOI: https://doi.org/10.1007/s10469-019-09555-x
- ID: 234150
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Abstract
Let A be a numerical k ×∞-matrix such that minors AI of order k tend to zero if numbers of all columns forming these minors tend to infinity. It is shown that there exits a nontrivial linear combination of rows in A which is a sequence tending to zero.
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About the authors
K. V. Storozhuk
Sobolev Institute of Mathematics
Author for correspondence.
Email: stork@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090
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