Screen LibraryA first course in functional analysis
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| Main Authors: | |
|---|---|
| Published: |
Wiley-Interscience,
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| Publisher Address: | Hoboken, N.J. |
| Publication Dates: | c2008. |
| Literature type: | Book |
| Language: | English |
| Series: |
Pure and applied mathematics |
| Subjects: | |
| Carrier Form: | xiii, 307 p.: ill. ; 25 cm. |
| ISBN: |
9780470146194 (cloth) 0470146192 (cloth) |
| Index Number: | O177 |
| CLC: | O177 |
| Call Number: | O177/P965 |
| Contents: |
Includes bibliographical references (p. 297-298) and index. Linear spaces and operators -- Normed linear spaces: the basics -- Major banach space theorems -- Hilbert spaces -- Hahn-Banach theorem -- Duality -- Topological linear spaces -- The spectrum -- Compact operators -- Application to integral and differential equations -- Spectral theorem for bounded, self-adjoint operators -- Appendix A: Zorn's lemma -- Appendix B: Stone-Weierstrass theorem -- Appendix C: Extended real numbers and limit points and sequences -- Appendix D: Measure and integration -- Appendix E: Tychonoff's theorem. |