On reproducing property and 2-cocycles

Saeed Hashemi Sababe, Ali Ebadian, Shahram Najafzadeh

Abstract


In this paper, we study reproducing kernels whose ranges are subsets of a $C^*$-algebra or a Hilbert $C^*$-module. In particular, we show how such a reproducing kernel can naturally be expressed in terms of operators on a Hilbert $C^*$-module. We focus on relative reproducing kernels and extend this concept to such spaces associated with cocycles.

Keywords


reproducing kernel; 2-semi inner product; 2-semi norm

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References


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DOI: http://dx.doi.org/10.5556/j.tkjm.49.2018.2553

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