The space B(pi), defined by s.n. function (Phi)(pi)(x_{1},...), were discussed in details in [8], and it is shown that B(pi) is the dual space of B(Pi)^0, which is the closure of the polynomials in B(Pi), the space of analytic function defined by the s.n. function (Phi)(Pi)(x_{1},...), provided that {pi_{n}} satisfies some regularity condition. In this article, we will show that in fact we have the relation (B(Pi)^0)^* approx B(pi), B(pi)^* approx B(Pi). This is an interesting analogy to the classical duality between the operator ideal (S(Pi))^(0), S(pi) and S(Pi), or, the s.n. ideal defined by (Phi)(Pi) and (Phi)(pi).
Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0616105-164642 |
Date | 16 June 2005 |
Creators | Yang, Po-chin |
Contributors | Mark C. Ho, Mark C. Ho, none, none, Ngai-Ching Wong |
Publisher | NSYSU |
Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
Language | English |
Detected Language | English |
Type | text |
Format | application/pdf |
Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0616105-164642 |
Rights | unrestricted, Copyright information available at source archive |
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