This book gives functional analysts a new perspective on their field and new tools to tackle its problems. It presents and explain many powerful results from the last half century and uses them to solve classical and new results in the theory of (quasi-) Banach spaces, while introducing the algebraic techniques from scratch with concrete examples.
This book gives functional analysts a new perspective on their field and new tools to tackle its problems. It presents and explain many powerful results from the last half century and uses them to solve classical and new results in the theory of (quasi-) Banach spaces, while introducing the algebraic techniques from scratch with concrete examples.
Félix Cabello Sánchez is Professor of Mathematics at the Universidad de Extremadura. He is co-author of the monograph Separably Injective Banach Spaces (2016).
Inhaltsangabe
Preliminaries 1. Complemented subspaces of Banach spaces 2. The language of homology 3. Quasilinear maps 4. The functor Ext and the homology sequences 5. Local methods in the theory of twisted sums 6. Fraissé limits by the pound 7. Extensions of operators, isomorphisms and isometries 8. Extension of C(K)-valued operators 9. Singular exact sequences 10. Back to Banach space theory Bibliography Index.
Preliminaries 1. Complemented subspaces of Banach spaces 2. The language of homology 3. Quasilinear maps 4. The functor Ext and the homology sequences 5. Local methods in the theory of twisted sums 6. Fraissé limits by the pound 7. Extensions of operators, isomorphisms and isometries 8. Extension of C(K)-valued operators 9. Singular exact sequences 10. Back to Banach space theory Bibliography Index.
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