## Proceedings of the Centre for Mathematics and its Applications

- Proc. Centre Math. Appl.
- 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

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

#### 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

**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