# Factorizing the classical inequalities

### About this Title

**Grahame Bennett**

Publication: Memoirs of the American Mathematical Society

Publication Year
1996: Volume 120, Number 576

ISBNs: 978-0-8218-0436-0 (print); 978-1-4704-0161-0 (online)

DOI: http://dx.doi.org/10.1090/memo/0576

MathSciNet review: 1317938

MSC: Primary 26D15; Secondary 40H05, 46B45, 47A99, 47B37

### Table of Contents

**Chapters**

- 1. Introduction
- 2. Outline
- 3. The spaces $d(\mathbf {a},p)$ and $g(\mathbf {a},p)$
- 4. Hardy
- 5. Hölder
- 6. Copson
- 7. Two techniques
- 8. Examples
- 9. The meaning of $\ell ^p$
- 10. $ces(p)$ versus $cop(p)$
- 11. Hilbert
- 12. Köthe–Toeplitz duality
- 13. The spaces $\ell ^p \cdot d(\mathbf {a}, q)$
- 14. Multipliers
- 15. Some non-factorizations
- 16. Examples
- 17. Other matrices
- 18. Summability matrices
- 19. Hausdorff matrices
- 20. Cesàro matrices
- 21. Integral analogues