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Mathematics Homework Solutions
#38049
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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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).
See the attached file.
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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