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x** is weak* continuous iff x** Є j(ε).

Topology

Suppose that ε is a normed linear space. Let j: ε → ε** be the canonical imbedding and let x** be a linear functional on ε*.
Then x** is weak* continuous if and only if x** Є j(ε).

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This solution is comprised of a detailed explanation of the canonical imbedding of the normed linear space.
It contains step-by-step explanation for the following problem:

Suppose that ε is a normed linear space. Let j: ε → ε** be the canonical imbedding
and let x** be a linear functional on ε*.
Then x** is weak* continuous if and only if x** Є j(ε).

Solution contains detailed step-by-step explanation.

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