Danuta Przeworska-Rolewicz, Linear spaces and linear operators (Electronic 2-nd edition, IM PAN 2007)

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Contents

  1. Linear spaces
  2. Linear operators and linear functionals
  3. Matrices and determinants. Solutions to linear systems of equati ons
  4. Inner product and vector product
  5. Eigenspaces and principal spaces. Algebraic operators
  6. Quadratic forms
  7. Transformations groups. Representations of finite groups
  8. Index and perturbations of linear operators
  9. Index of conjugate operators. Generalized Fredholm alternative
  10. References
  11. Index