On reproducing property and 2-cocycles

Main Article Content

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.

Article Details

How to Cite
Hashemi Sababe, S., Ebadian, A., & Najafzadeh, S. (2018). On reproducing property and 2-cocycles. Tamkang Journal of Mathematics, 49(2), 143–153. https://doi.org/10.5556/j.tkjm.49.2018.2553
Section
Papers
Author Biographies

Saeed Hashemi Sababe

Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran.

Ali Ebadian

Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran.

Shahram Najafzadeh

Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran.

References

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