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*—Inductive limits and partition of unity

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  • V. Murali

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.

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  • V. Murali, 1989. "*—Inductive limits and partition of unity," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 12, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:362405
    DOI: 10.1155/S0161171289000529
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