經由SN理論我们建構一些新的解析空間,另外在C*代數的稠密性問題上我們有一些新的結果.

We construct some new spaces determined by SN functions based on the classical SN theory.Also we have some new result in the densness of algebraic elements in a C* algebra.

Chapter 1.
Introduction
Chapter 2.
The regularity of the norming sequence
Chapter 3.
Analytic spaces defined by SN functions


Appendix:The density of algebraic elements in a C* algebra

M. C. Ho, Operators on spaces of analytic functions
belonging to L, J. of Math. Anal. and
Appl.,268, 2002, pp.665-683.

M. C. Ho and Mu Ming Wong, Analytic spaces defined
by s.n. functions, Taiwanese J. Math., to appear.

M. C. Ho and Mu Ming Wong, Application of the
theory of s.n. functions to the duality of analytic function spaces and Hankel operators in S, preprint.