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Dual vector space

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Summary

The vector space of linear functionals from a vector space to its scalar field.

Record metadata

Carrier(s)

Data

Axioms / constraints

Canonically induces

Notes

For infinite-dimensional topological vector spaces, the continuous dual depends on the topology and can differ from the algebraic dual.

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Vector spaceDual vector space

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

The algebraic dual is canonically constructed as the vector space of linear functionals.

How to interpret this relation type

Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.

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