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What is the dual space of a normed vector space X?
  1. The set of all bounded linear functionals on X
  2. The set of all matrices in X
  3. The set of all nonlinear functions on X
  4. None of these
Explanation

The dual space is commonly denoted by X*.

It consists of all bounded linear functionals defined on X.

These functionals map vectors to scalars.


Last verified on 14-11-2026

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