Korean J. Math. Vol. 28 No. 4 (2020) pp.973-984
DOI: https://doi.org/10.11568/kjm.2020.28.4.973

On 2-inner product spaces and reproducing property

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Published: Dec 30, 2020
Keywords:
reproducing kernel, 2-semi inner product, 2-semi norm
Mathematics Subject Classification:
47B32, 47A70

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Saeed Hashemi Sababe
Young Researchers and Elite Club, Malard Branch Islamic Azad University, Malard, Iran

Abstract

This paper is devoted to study the reproducing property on 2-inner product Hilbert spaces. We focus on a new structure to produce reproducing kernel Hilbert and Banach spaces. According to multi variable computing, this structures play the key role in probability, mathematical finance and machine learning.


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