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Linear Mappings

  • Werner Greub
Part of the Graduate Texts in Mathematics book series (GTM, volume 23)

Abstract

Suppose E, F are vector spaces and let φ: E → F be a linear mapping. Then the kernel of φ, denoted by ker φ, is the subset of vectors x ϵ E such that φx = 0. It follows from (1.8) and (1.9) that ker φ is a subspace of E.

Keywords

Vector Space Exact Sequence Dual Mapping Short Exact Sequence Canonical Projection 
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. 1975

Authors and Affiliations

  • Werner Greub
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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