A **convenient vector space** is a concept that arises within the context of functional analysis and the study of infinite-dimensional vector spaces. Convenient vector spaces are designed to facilitate the analysis of differentiable functions and other structures used in areas such as differential geometry, topology, and the theory of distributions. Key characteristics of convenient vector spaces include: 1. **Locally Convex Structure**: They generally have a locally convex topology, which allows for a well-defined notion of convergence and continuity.
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