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11 Normed spaces[0ZT]

Let in the following \(X\) be a vector space based on the real field \({\mathbb {R}}\).

Definition 20 Norm

[0ZV]

Remark 21

[0ZW]

Exercises

  1. [0ZX]

  2. [0ZY]

  3. [0ZZ]

  4. [105]

  5. [106]

  6. [107]

  7. [109]

11.1 Norms in Euclidean space

[2CK]

11.2 Isometries

[2CH]

11.3 Total convergence

[2CJ]

11.4 Norms of Linear application

[2CM]

11.5 Norms of Matrixes

[2CN]

11.6 Minkowski sum

[2CP]

11.7 Mathematical morphology

[2CQ]

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