Homological Methods in Banach Space Theory

ISBN-13: 9781108478588 / Angielski / Twarda / 2023 / 500 str.

Spain) Castillo Jesus M. F. (Universidad de Extremadura

Opis

Approaches Banach space theory using methods from homological algebra, with concrete examples and proofs of many new and classical results.

Recenzje

'This masterpiece seemingly is an excellent math book saturated with lush insights and marvellous perspectives on Banach spaces. But start to read it. When furniture and people start to appear to you as diagrams you will realize that you are in the middle of a fascinating wildlife event.' Piotr Koszmider, Institute of Mathematics of the Polish Academy of Sciences

Spis treści

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.