*—Inductive limits and partition of unity

V. Murali

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-6

Abstract:

In this note we define and discuss some properties of partition of unity on *-inductive limits of topological vector spaces. We prove that if a partition of unity exists on a *-inductive limit space of a collection of topological vector spaces, then it is isomorphic and homeomorphic to a subspace of a *-direct sum of topological vector spaces.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:362405

DOI: 10.1155/S0161171289000529

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