Proceedings of the Centre for Mathematics and its Applications

Norms of $0$-$1$ matrices in $C_p$

Ian Doust

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Abstract

We announce a new result (proved in collaboration with T.A. Gillespie) on the boundedness of a class of Schur mul- tiplier projections on the von Neumann-Schatten ideals $C_p$. We also show that for $1 \leq p \leq 2$ the average Cp norm of a $0-1$ matrix grows just as quickly as the largest norm of such a matrix.

Article information

Source
National Research Symposium on Geometric Analysis and Applications. Alexander Isaev, Andrew Hassell, Alan McIntosh and Adam Sikora, eds. Proceedings of the Centre for Mathematics and its Applications, v. 39. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 2001), 50-55

Dates
First available in Project Euclid: 17 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416260672

Mathematical Reviews number (MathSciNet)
MR1852694

Zentralblatt MATH identifier
1121.47300

Citation

Doust, Ian. Norms of $0$-$1$ matrices in $C_p$. National Research Symposium on Geometric Analysis and Applications, 50--55, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 2001. https://projecteuclid.org/euclid.pcma/1416260672


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