Hashemi Sababe, S., Ebadian, A. (2018). Some Properties of Reproducing Kernel Banach and Hilbert Spaces. Sahand Communications in Mathematical Analysis, 12(1), 167-177. doi: 10.22130/scma.2017.27822
Saeed Hashemi Sababe; Ali Ebadian. "Some Properties of Reproducing Kernel Banach and Hilbert Spaces". Sahand Communications in Mathematical Analysis, 12, 1, 2018, 167-177. doi: 10.22130/scma.2017.27822
Hashemi Sababe, S., Ebadian, A. (2018). 'Some Properties of Reproducing Kernel Banach and Hilbert Spaces', Sahand Communications in Mathematical Analysis, 12(1), pp. 167-177. doi: 10.22130/scma.2017.27822
Hashemi Sababe, S., Ebadian, A. Some Properties of Reproducing Kernel Banach and Hilbert Spaces. Sahand Communications in Mathematical Analysis, 2018; 12(1): 167-177. doi: 10.22130/scma.2017.27822
Some Properties of Reproducing Kernel Banach and Hilbert Spaces
1Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran.
2Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
Abstract
This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reproducing kernels to relative reproducing kernels and prove some theorems in this subject.
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