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URN etd-0616105-164642 Author Po-chin Yang Author's Email Address gasebaby@yahoo.com.tw Statistics This thesis had been viewed 5204 times. Download 1902 times. Department Applied Mathematics Year 2003 Semester 2 Degree Master Type of Document Language English Title The space B(pi) and its dual Date of Defense 2005-06-10 Page Count 22 Keyword dual spaceof B(pi) the space B(pi) Abstract 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). Advisory Committee Mark C. Ho - chair

none - co-chair

none - co-chair

Ngai-Ching Wong - co-chair

Mark C. Ho - advisor

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etd-0616105-164642.pdf Date of Submission 2005-06-16