Analysis at Urbana Volume 2, Analysis in Abstract Spaces [Paperback]

Throughout the acedemic year 19867, the University of Illinois hosted a symposium on mathematical analysis attended by some of the leading figures in the field. This resulting book lays emphasis on the synthesis of modern and classical analysis. The contributed articles cover the mainstream topics and will be essential to researchers in mathematical analysis.Throughout the acedemic year 19867, the University of Illinois hosted a symposium on mathematical analysis attended by some of the leading figures in the field. This resulting book lays emphasis on the synthesis of modern and classical analysis. The contributed articles cover the mainstream topics and will be essential to researchers in mathematical analysis.Throughout the academic year 19867, 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. Kló