ON LINEAR TRANSFORMATION OF REPRODUCING KERNEL HILBERT $C^*$−MODULES

In this paper, we investigate the reproducing kernel theory in the framework of Hilbert $C^{*}-$ modules and the linear transformation of Hilbert $C^{*}-$ modules. We give an analog of the inversion formula and the theorems of approximation in a reproducing kernel space.

Publication Details

Journal
Advances in Mathematics Scientific Journal
Published
2025-09-27
DOI
https://doi.org/10.37418/amsj.14.3.5
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

ON LINEAR TRANSFORMATION OF REPRODUCING KERNEL HILBERT $C^*$−MODULES

Advances in Mathematics Scientific Journal
Geochemistry and Geologic Mapping
article

ON LINEAR TRANSFORMATION OF REPRODUCING KERNEL HILBERT $C^*$−MODULES

article en

Abstract

In this paper, we investigate the reproducing kernel theory in the framework of Hilbert $C^{*}-$ modules and the linear transformation of Hilbert $C^{*}-$ modules. We give an analog of the inversion formula and the theorems of approximation in a reproducing kernel space.

Advances in Mathematics Scientific JournalVol. 14(3)
Openalex Percentile: Top 26%
Geochemistry and Geologic Mapping
DOISourceOpenAlex
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ON LINEAR TRANSFORMATION OF REPRODUCING KERNEL HILBERT $C^*$−MODULES · Advances in Mathematics Scientific Journal (2025) | TGRS Research Map | TGRS