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Linear spaces and linear operators

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Author(s): Danuta Przeworska-Rolewicz
Publisher: Institute of Mathematics of the Polish Academy of Sciences
Year: 2007

Language: English
Pages: 155
Tags: Математика;Функциональный анализ;Теория операторов;

Contents......Page 2
Preface......Page 4
1. Linear spaces.......Page 6
2. Linear operators and linear functionals.......Page 19
3. Matrices and determinants. Solutions to linear systems of equations.......Page 37
4. Inner product and vector product.......Page 53
5. Eigenspaces and principal spaces. Algebraic operators.......Page 66
6. Quadratic forms.......Page 90
7. Transformations groups. Representations of finite groups.......Page 102
8. Index and perturbations of linear operators.......Page 111
9. Index of conjugate operators. Generalized Fredholm alternative.......Page 133
References.......Page 146
Index.......Page 148