Analysis at Urbana: Volume 2, Analysis in Abstract Spaces

Earl R. Berkson (Edited by), N. Tenney Peck (Edited by), J. Jerry Uhl (Edited by)

9780521364379, Cambridge University Press

Paperback, published 30 March 1989

368 pages
22.8 x 15.2 x 2.3 cm, 0.595 kg

Throughout the academic year 1986–7, the University of Illinois was host to a symposium on mathematical analysis which was attended by some of the leading figures in the field. This book arises out of this special year and lays emphasis on the synthesis of modern and classical analysis. The contributed articles by the participants cover the gamut of mainstream topics. This book will be essential to researchers in mathematical analysis.

1. The C1 contractions B. Beauzamy
2. Factorization theorems for integrable functions H. Bercovici
3. Spectral decompositions and vector-valued transference E. Berkson and T. Gillespie
4. Vector-valued Hardy spaces from operator theory O. Blasco
5. Restricted invertibility of matrices and applications J. Bourgain and L. Tzafiri
6. The commuting B. A. P. for Banach spaces P. Casazza
7. The minimal normal extension of a function of a subnormal operator J. Conway
8. Two C*-algebra inequalities G. Corach, H. Porta and L. Recht
9. The generalised Bochner theorem in algebraic scattering systems M. Cotlar and C. Sadosky
10. Differential estimates and commutators in interpolation theory M. Cwikel, B. Jawerth, M. Milman and R. Rochberg
11. A survey of nest algebras K. Davidson
12. Some notes on non-commutative analysis R. Kadison
13. Some remarks on interpolation of families of quasi-Banach spaces N. Kalton
14. An application of Edgar's ordering of Banach spaces L. Riddle
15. Martingale proofs of a general integral representation theorem H. Rosenthal.

Subject Areas: Calculus & mathematical analysis [PBK]