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Hybrid ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Smooth differential structures of bornological algebra induced via directed limits of Frechet spaces

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pp. 1585–1596Vol. 29Issue 5-BMay 2026DOI: 10.47974/JIM-2551XML
Received:
01 Nov 2025
Published Online:
27 Jun 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2551
Pages:
1585–1596

Abstract

This paper presents new results on bornological algebras over LF-spaces, in which bounded sets are stable under differentiation, multiplication, and addition, and the space of smooth functions on the LF-space inherits this structure and remains bounded. We apply our results to solve problems using the derived theorems of bornological algebra.

Keywords

Subject Classifications

46A0846A11

References

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