Title page for etd-0616105-164642


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URN etd-0616105-164642
Author Po-chin Yang
Author's Email Address gasebaby@yahoo.com.tw
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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
  • Files
  • etd-0616105-164642.pdf
  • indicate access worldwide
    Date of Submission 2005-06-16

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