On the Algebras VN(H) and VN(H)(*) of an Ultraspherical Hypergroup H

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comunitat-uji-handle:10234/9

comunitat-uji-handle2:10234/173364

comunitat-uji-handle3:10234/173369

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Metadatos

Título
On the Algebras VN(H) and VN(H)(*) of an Ultraspherical Hypergroup H
Autoría
 Esmailvandi , Reza;
 Nemati, Mehdi;
 Kumar, Shravan
Fecha de publicación
2022-12-12
Editor
Cambridge University Press; Australian Mathematical Society
URI
http://hdl.handle.net/10234/202148
DOI
https://doi.org/10.1017/S1446788722000192
ISSN
1446-7887; 1446-8107
Cita bibliográfica
ESMAILVANDI, REZA, MEHDI NEMATI, and NAGESWARAN SHRAVAN KUMAR. “ON THE ALGEBRAS VN(H) AND VN(H)(*) OF AN ULTRASPHERICAL HYPERGROUP H.” Journal of the Australian Mathematical Society, 2022, 1–17. doi:10.1017/S1446788722000192.
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Palabras clave / Materias
Resumen
Let H be an ultraspherical hypergroup and let A(H) be the Fourier algebra associated with H. In this paper, we study the dual and the double dual of A(H). We prove among other things that the subspace of ... [+]
Let H be an ultraspherical hypergroup and let A(H) be the Fourier algebra associated with H. In this paper, we study the dual and the double dual of A(H). We prove among other things that the subspace of all uniformly continuous functionals on A(H) forms a C∗ -algebra. We also prove that the double dual A(H)∗∗ is neither commutative nor semisimple with respect to the Arens product, unless the underlying hypergroup H is finite. Finally, we study the unit elements of A(H)∗∗. [-]
Entidad financiadora
IPM | Science and Engineering Board, India
Código del proyecto o subvención
1401170411 | MTR/2018/000849
Derechos de acceso
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
info:eu-repo/semantics/openAccess
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© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Excepto si se señala otra cosa, la licencia del ítem se describe como: © The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.