Reproducing kernel Hilbert C*-modules and kernels associated with cocycles
- Authors
- Heo, Jaeseong
- Issue Date
- Oct-2008
- Publisher
- AMER INST PHYSICS
- Citation
- JOURNAL OF MATHEMATICAL PHYSICS, v.49, no.10, pp.1 - 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL PHYSICS
- Volume
- 49
- Number
- 10
- Start Page
- 1
- End Page
- 12
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/177851
- DOI
- 10.1063/1.3000574
- ISSN
- 0022-2488
- Abstract
- 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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