2018arXiv (Cornell University)Open access

Generalization of a Real-Analysis Result to a Class of Topological Vector Spaces

Leonard Huang

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Abstract

In this paper, we generalize an elementary real-analysis result to a class of topological vector spaces. We also give an example of a topological vector space to which the result cannot be generalized.

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What this paper is about

In this paper, we generalize an elementary real-analysis result to a class of topological vector spaces. We also give an example of a topological vector space to which the result cannot be generalized.

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Available abstract

In this paper, we generalize an elementary real-analysis result to a class of topological vector spaces. We also give an example of a topological vector space to which the result cannot be generalized.

Key concepts: Topological vector space, Locally convex topological vector space, Topological space, Topological tensor product, Vector space, Mathematics, Generalization, Class (philosophy)

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