Three-space Problems in Banach Space Theory

• Κύριοι συγγραφείς: Castillo, Jesus M.F (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), González, Manuel (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Έκδοση: 1st ed. 1997.
• Σειρά: Lecture Notes in Mathematics, 1667
• Θέματα: Functional analysis.; Topology.; Geometry.; Functional Analysis.

This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space...

Πίνακας περιεχομένων:

• Foreword
• Contents
• Three-space constructions: Appendix. L-summands, Appendix. Harte's problem and Taylor's spectrum
• Methods to obtain three-space ideals: Appendix. Applications to three-space results to the opening
• Classical Banach space: Appendix. Banach spaces not isomorphic to their square, Appendix. Being a dual space
• Topological properties of Banach spaces: Appendix. Polynomial properties
• Geometrical properties
• Homological properties
• Approximation properties
• Resume
• Bibliography
• Subject Index.