What is a difference between linear operator and linear functional?(adsbygoogle = window.adsbygoogle || []).push({});

Do I understand it correctly that linear operator is any operator that when applied on a vector from a vector space, gives again a vector from this vector space. And also obeys linearity conditions.

And linear functional is a vector, dot product of which with the vector from the vector space gives again a vector from this vector space. And also linearity conditions are met.

So, linear functional is a vector and linear operator is not a vector?

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# Linear operator, linear functional difference?

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