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In mathematics, more specifically in functional analysis, a K-space is an F-space such that every extension of F-spaces (or twisted sum) of the form is equivalent to the trivial one[1] where is the real line.
Examples
The spaces for are K-spaces,[1] as are all finite dimensional Banach spaces.
N. J. Kalton and N. P. Roberts proved that the Banach space is not a K-space.[1]
See also
- Compactly generated space – Property of topological spaces
- Gelfand–Shilov space
References
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