University of MaraghehSahand Communications in Mathematical Analysis2322-580712120181101Some Properties of Reproducing Kernel Banach and Hilbert Spaces1671772782210.22130/scma.2017.27822ENSaeed Hashemi SababeDepartment of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran.0000-0003-1167-5006Ali EbadianDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.Journal Article20161022This 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.http://scma.maragheh.ac.ir/article_27822_298b6f2d56821515a48c545aa71eba1d.pdf