Periodica Mathematica Hungarica
Volume/Issue:
Volume 22: Issue 3
The steinitz lemma inlinf∞sup2
Author:
W. Banaszczyk Instytut Matematyki Uniwersytetu Lódzkiego Banacha 22 90-238 Lódź Poland

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Pages:
183–186
Online Publication Date:
02 Aug 2005
Publication Date:
01 Jun 1991
Article Category:
Research Article
DOI:
https://doi.org/10.1007/bf01960508
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Let (a, b) be a pair of non-negative numbers such that (1)a, b≥1 and (2)a+b≥3. Letu1,...,un be a sequence of vectors from the set {(x, y)εR2: |x|, |y|≤1}, withu1+...+un=0. It is shown that there is a permutation π of indices such that all partial sumsuπ(1)+...+uπ(k) lie in the rectangle |x|≤a, |y|≤b. Conditions (1) and (2) are also necessary.

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Cover Periodica Mathematica Hungarica
Periodica Mathematica Hungarica
Print ISSN:
0031-5303
Online ISSN:
1588-2829

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Periodica Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1971
Volumes
per Year		 2
Issues
per Year		 4
Founder Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's
Address		 H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0031-5303 (Print)
ISSN 1588-2829 (Online)

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