Geodesic
Lunin's method for selecting large submatrices with small norm
Sbornik. Mathematics, Tome 206 (2015) no. 7, pp. 980-987

Voir la notice de l'article provenant de la source Math-Net.Ru

Using an approach proposed by Lunin in 1989, upper bounds are found for the norms of large submatrices of a fixed $(N\times n)$-matrix which defines an operator from $l_2^n$ into $l_1^N$ with unit norm. Bibliography: 15 titles.
Keywords: submatrix, operator norm, Lunin's lemma, Kadison-Singer problem. 
@article{SM_2015_206_7_a3,
     author = {B. S. Kashin},
     title = {Lunin's method for selecting large submatrices with small norm},
     journal = {Sbornik. Mathematics},
     pages = {980--987},
     publisher = {mathdoc},
     volume = {206},
     number = {7},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2015_206_7_a3/}
}
TY  - JOUR
AU  - B. S. Kashin
TI  - Lunin's method for selecting large submatrices with small norm
JO  - Sbornik. Mathematics
PY  - 2015
SP  - 980
EP  - 987
VL  - 206
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2015_206_7_a3/
LA  - en
ID  - SM_2015_206_7_a3
ER  - 
%0 Journal Article
%A B. S. Kashin
%T Lunin's method for selecting large submatrices with small norm
%J Sbornik. Mathematics
%D 2015
%P 980-987
%V 206
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2015_206_7_a3/
%G en
%F SM_2015_206_7_a3
B. S. Kashin. Lunin's method for selecting large submatrices with small norm. Sbornik. Mathematics, Tome 206 (2015) no. 7, pp. 980-987. http://geodesic.mathdoc.fr/item/SM_2015_206_7_a3/