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HandWiki. Topology of Uniform Convergence. Encyclopedia. Available online: https://encyclopedia.pub/entry/36768 (accessed on 22 September 2026).
HandWiki. Topology of Uniform Convergence. Encyclopedia. Available at: https://encyclopedia.pub/entry/36768. Accessed September 22, 2026.
HandWiki. "Topology of Uniform Convergence" Encyclopedia, https://encyclopedia.pub/entry/36768 (accessed September 22, 2026).
HandWiki. (2022, November 28). Topology of Uniform Convergence. In Encyclopedia. https://encyclopedia.pub/entry/36768
HandWiki. "Topology of Uniform Convergence." Encyclopedia. Web. 28 November, 2022.
Topology of Uniform Convergence
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In mathematics, a linear map is a mapping V → W between two modules (including vector spaces) that preserves the operations of addition and scalar multiplication. By studying the linear maps between two modules one can gain insight into their structures. If the modules have additional structure, like topologies or bornologies, then one can study the subspace of linear maps that preserve this structure.

linear map bornologies topologies

References

  1. Schaefer (1970) p. 79
  2. Schaefer (1970) p. 81
  3. Schaefer (1970) p. 80
  4. Schaefer (1970) p. 82
  5. Schaefer (1970) p. 83
  6. Treves pp. 199–200
  7. Treves, p. 198
  8. Treves, pp. 196, 368 - 370
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