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Subspaces

  • Larry Smith
Chapter
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

A nonempty subset U; of a vector space V is called a linear sub-space of V the following two conditions are satisfied:
  1. (1)

    if AU; and BU; then A + BU;

     
  2. (2)

    if AU; and r ∈ ℝ then rAU;.

     

Keywords

Linear Combination Vector Space Linear Subspace Nonempty Subset Scalar Multiplication 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag, New York Inc. 1978

Authors and Affiliations

  • Larry Smith
    • 1
    • 2
  1. 1.Mathematisches InstitutUniversität GöttingenGöttingenWest Germany
  2. 2.Department of MathematicsIndiana UniversityBloomingtonUSA

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