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Journal of Mathematical Physics : Reproducing kernel Hilbert C-modules and kernels associated with cocycles

By Jaeseong Heo

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Book Id: WPLBN0002169561
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 21 October 2008

Title: Journal of Mathematical Physics : Reproducing kernel Hilbert C-modules and kernels associated with cocycles  
Author: Jaeseong Heo
Volume: Issue : October 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Journal of Mathematical Physics Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Heo, J. (n.d.). Journal of Mathematical Physics : Reproducing kernel Hilbert C-modules and kernels associated with cocycles. Retrieved from http://hawaiilibrary.net/


Description
Description: In this paper we discuss reproducing kernels whose ranges are contained in a C∗-algebra or a Hilbert C∗-module. Using the construction of a reproducing Hilbert C∗-module associated with a reproducing kernel, we show how such a reproducing kernel can naturally be expressed in terms of operators on a Hilbert C∗-module using representations on Hilbert C∗-modules. We prove that for each positive definite G-kernel associated with a cocycle there is a representation associated with an operator-valued cocycle on the corresponding Hilbert C∗-module. Finally, some examples will be considered.

 

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