ESTONIAN ACADEMY
PUBLISHERS
eesti teaduste
akadeemia kirjastus
PUBLISHED
SINCE 1952
 
Proceeding cover
proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2024): 0.7
Research article
Constructing new Segal topological algebras from existing ones; pp. 539–543
PDF | https://doi.org/10.3176/proc.2025.4.07

Authors
René Piik ORCID Icon, Mart Abel ORCID Icon
Abstract

In this paper, we examine the properties of Segal topological algebras, looking at ways to construct new objects from existing ones. Equipped with the example of algebras (in the sense of vector spaces equipped with multiplication), we consider two approaches: one via a direct product of an arbitrary family of Segal topological algebras and another using the Dorroh extensions of the underlying topological algebras.

References

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3. Schaefer, H. H. and Wolff, M. P. Topological Vector Spaces. 2nd ed. In Graduate Texts in Mathematics3. Springer, New York, 1999.
https://doi.org/10.1007/978-1-4612-1468-7

4. Reiter, H. Subalgebras of L1 (G). Indag. Math., 1965, 27, 691–696.
https://doi.org/10.1016/S1385-7258(65)50071-8

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