Linear Spaces and Operators

  • James M. Ortega
Part of the The University Series in Mathematics book series (USMA)


Matrix theory can be studied with no mention of linear spaces, and most of the results in this book are of such a nature. However, the introduction of linear spaces and the role of matrices in defining or representing linear transformations on such spaces add considerably to our insight. Most importantly, perhaps, the notions of linear spaces and linear transformations give a geometrical basis to matrix theory, which aids both in understanding as well as in suggesting proofs and new results.


Linear Operator Linear Space Matrix Representation Product Space Normed Linear Space 
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.

Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • James M. Ortega
    • 1
  1. 1.University of VirginiaCharlottesvilleUSA

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