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

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 th...
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Autor*in:	Mohammadreza Foroutan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	relative reproducing kernel banach spaces feature maps semi-inner product dual space

Übergeordnetes Werk:	In: Sahand Communications in Mathematical Analysis - University of Maragheh, 2015, 20(2023), 4, Seite 47-61
Übergeordnetes Werk:	volume:20 ; year:2023 ; number:4 ; pages:47-61

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.22130/scma.2023.1989152.1253

Katalog-ID:	DOAJ098285890

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callnumber-first	Q - Science
author	Mohammadreza Foroutan
spellingShingle	Mohammadreza Foroutan misc QA1-939 misc relative reproducing kernel banach spaces misc feature maps misc semi-inner product misc dual space misc Mathematics On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
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topic_title	QA1-939 On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps relative reproducing kernel banach spaces feature maps semi-inner product dual space
topic	misc QA1-939 misc relative reproducing kernel banach spaces misc feature maps misc semi-inner product misc dual space misc Mathematics
topic_unstemmed	misc QA1-939 misc relative reproducing kernel banach spaces misc feature maps misc semi-inner product misc dual space misc Mathematics
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title	On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
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title_full	On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
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title_sort	on relative reproducing kernel banach spaces: definitions, semi-inner product and feature maps
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title_auth	On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
abstract	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.
abstractGer	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.
abstract_unstemmed	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.
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title_short	On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
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