An algebra structure for reproducing kernel Hilbert spaces
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DOI: 10.1007/s43037-024-00398-y
Abstract: Reproducing kernel Hilbert spaces (RKHSs) are Hilbert spaces of functions where pointwise evaluation is continuous. There are known examples of RKHSs that are Banach algebras under pointwise multiplication. These examples are built from weights on… read more here.
Keywords: reproducing kernel; kernel hilbert; algebra; usepackage ... See more keywords
Free Rota-Baxter systems and a Hopf algebra structure
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DOI: 10.1080/00927872.2018.1427246
Abstract: ABSTRACT In this paper, we give a linear basis of a free Rota-Baxter system on a set by using the Gröbner-Shirshov bases method and then we obtain a Hopf algebra structure on a free Rota-Baxter… read more here.
Keywords: algebra structure; free rota; rota baxter; hopf algebra ... See more keywords
G-Algebra Structure on the Higher Order Hochschild Cohomology HS2∗(A,A)
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DOI: 10.1142/s1005386722000098
Abstract: We present a deformation theory associated to the higher Hochschild cohomology [Formula: see text]. We also study a [Formula: see text]-algebra structure associated to this deformation theory. read more here.
Keywords: hochschild cohomology; structure higher; algebra structure;
Banach algebra structure in analytic tent spaces
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DOI: 10.1515/gmj-2025-2069
Abstract: Abstract In this paper, the Duhamel product is used to endow analytic tent spaces with a Banach algebra structure. The Hadamard–Bergman convolution on these spaces is also described. Additionally, the Deddens algebras of composition operators… read more here.
Keywords: analytic tent; tent spaces; algebra; banach algebra ... See more keywords
$C^*$ -algebra structure on certain Banach algebra products
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DOI: 10.4153/s0008439520000740
Abstract: Abstract Let $\mathcal A$ and $\mathcal B$ be commutative and semisimple Banach algebras and let $\theta \in \Delta (\mathcal B)$ . In this paper, we prove that $\mathcal A\times _{\theta }\mathcal B$ is a type… read more here.
Keywords: mathcal mathcal; banach; algebra structure; certain banach ... See more keywords