From Hahn-Banach to Monotonicity

• Κύριος συγγραφέας: Simons, Stephen (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2008.
• Σειρά: Lecture Notes in Mathematics, 1693
• Θέματα: Mathematics.; Functional analysis.; Operator theory.; Calculus of variations.; Functional Analysis.; Calculus of Variations and Optimal Control; Optimization.; Operator Theory.

In this new edition of LNM 1693 the essential idea is to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a “big convexification” of the graph of the multifunction and the “minimax technique”for proving the existence of linear functionals satis...

Πίνακας περιεχομένων:

• The Hahn-Banach-Lagrange theorem and some consequences
• Fenchel duality
• Multifunctions, SSD spaces, monotonicity and Fitzpatrick functions
• Monotone multifunctions on general Banach spaces
• Monotone multifunctions on reflexive Banach spaces
• Special maximally monotone multifunctions
• The sum problem for general Banach spaces
• Open problems
• Glossary of classes of multifunctions
• A selection of results.