On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
عنوان مقاله: On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
شناسه ملی مقاله: JR_SCMA-20-4_004
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_SCMA-20-4_004
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Mohammadreza Foroutan - Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.
خلاصه مقاله:
Mohammadreza Foroutan - Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.
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.
کلمات کلیدی: Relative reproducing Kernel Banach spaces, Feature maps, Semi-inner product, Dual space
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1804446/