F-spaces

In the context of topology and functional analysis, an **F-space** is a type of topological vector space that possesses specific properties. While the definition of an F-space can vary slightly depending on the context, a common characterization of an F-space is as follows: 1. **Complete Metric Space**: An F-space is usually defined as a complete metric space that is also a vector space. This means that every Cauchy sequence in the space converges to a limit within the space.