Linear Mappings

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


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.


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1975

Authors and Affiliations

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

Personalised recommendations