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Algebraic Conjugate Space


Suppose that X is a vector space over the field of complex or real numbers. Then the set of all linear functionals on X forms a vector space called the algebraic conjugate space X^# of X. It is known that X has dimension n if and only if X^# does (Kreyszig 1978).


See also

Dual Vector Space

This entry contributed by Mohammad Sal Moslehian

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References

Kreyszig, E. Introductory Functional Analysis with Applications. New York: Wiley, 1978.

Referenced on Wolfram|Alpha

Algebraic Conjugate Space

Cite this as:

Moslehian, Mohammad Sal. "Algebraic Conjugate Space." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/AlgebraicConjugateSpace.html

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