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On the completeness of certain kernel-defined semi-inner product spaces

✍ Scribed by Reinhard Wolf


Book ID
107382451
Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
447 KB
Volume
48
Category
Article
ISSN
0004-2080

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Let k be the reproducing kernel for a Hilbert space HΓ°kÞ of analytic functions on B d , the open unit ball in C d , d51. k is called a complete NP kernel if k 0 1 and if 1 Γ€ 1=k l Γ°zÞ is positive definite on B d Γ‚ B d . Let D be a separable Hilbert space, and consider HΓ°kÞ D ffi HΓ°k; DÞ, and think o