On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps

Autor:	Mohammadreza Foroutan
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	relative reproducing kernel banach spaces feature maps semi-inner product dual space Mathematics QA1-939
Zdroj:	Sahand Communications in Mathematical Analysis, Vol 20, Iss 4, Pp 47-61 (2023)
Druh dokumentu:	article
ISSN:	2322-5807 2423-3900
DOI:	10.22130/scma.2023.1989152.1253
Popis:	In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces in terms of the feature maps and establish the separability of the domains when they are separable. In addition, we prove some theorems concerning feature maps and reproducing kernel Banach spaces. And finally, the relative kernels are compared with the semi-inner ones.
Databáze:	Directory of Open Access Journals
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