شماره ركورد كنفرانس :
4303
عنوان مقاله :
2-Inner product $C^*$ -Hilbert Modules and Reproducing Property
پديدآورندگان :
Sababe SAEED HASHEMI Hashemi_1365@yahoo.com Payame Noor University , Yazdi MARYAM msh_yazdi@yahoo.com Malard Branch, Islamic Azad University
كليدواژه :
$C^*$ , module , 2 , inner product , reproducing kernels
عنوان كنفرانس :
پنجمين سمينار ملي آناليز تابعي و كاربردهاي آن
چكيده فارسي :
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 focus on 2-inner product kernels and prove related theorems.
