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$$ and plural where needed, added a reference.
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edit approved Nov 22, 2020 at 21:00
Alessandro Della Corte
edit approved Nov 22, 2020 at 21:00
Alessandro Della Corte
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It is a well-known result of Functional Analysis/Topological Vector space [Rudin(1991)]Spaces [1] that every linear map from a finite dimensional normed space to any topological vector space E$E$ is continuous (=jointly continuous).

[1]: Rudin, W. (1991). Functional analysis, mcgrawhill. Inc, New York.

It is a well-known result of Functional Analysis/Topological Vector space [Rudin(1991)] that every linear map from a finite dimensional normed space to any topological vector space E is continuous (=jointly continuous).

It is a well-known result of Functional Analysis/Topological Vector Spaces [1] that every linear map from a finite dimensional normed space to any topological vector space $E$ is continuous (=jointly continuous).

[1]: Rudin, W. (1991). Functional analysis, mcgrawhill. Inc, New York.

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Liaqat Ali Khan
Liaqat Ali Khan
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It is a well-known result of Functional Analysis/Topological Vector space [Rudin(1991)] that every linear map from a finite dimensional normed space to any topological vector space E is continuous (=jointly continuous).