Linear operators Part-I : general theory

By: Nelson DunfordContributor(s): Jacob T. SchwartzMaterial type: TextTextPublication details: New York: John Wiley and Sons, [c1988]Description: 858 pISBN: 978-0-471-60848-6Subject(s): MathematicsLOC classification: QA329.2.DUN
Contents:
1 A. Set-theoretic Preliminaries. 1 B. Toplogical Preliminaries. 1 C. Algebraic Preliminaries. 2. Three Basic Principles of Linear Analysis. 3. Integration and Set Functions. 4. Special Spaces. 5. Convex Sets and Weak Topologies. 6. Operators and Their Adjoints. 7. General Spectral Theory. 8. Applications.
Summary: This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. --- summary provided by publisher
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1 A. Set-theoretic Preliminaries.

1 B. Toplogical Preliminaries.

1 C. Algebraic Preliminaries.

2. Three Basic Principles of Linear Analysis.

3. Integration and Set Functions.

4. Special Spaces.

5. Convex Sets and Weak Topologies.

6. Operators and Their Adjoints.

7. General Spectral Theory.

8. Applications.

This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. --- summary provided by publisher

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