Measure-Theoretic Calculus in Abstract Spaces

Measure-Theoretic Calculus in Abstract Spaces portes grátis

Measure-Theoretic Calculus in Abstract Spaces

On the Playground of Infinite-Dimensional Spaces

Pan, Zigang

Birkhauser Verlag AG

01/2024

933

Dura

Inglês

9783031219115

15 a 20 dias

Descrição não disponível.
- 1. Introduction. - 2. Set Theory. - 3. Topological Spaces. - 4. Metric Spaces. - 5. Compact and Locally Compact Spaces. - 6. Vector Spaces. - 7. Banach Spaces. - 8. Global Theory of Optimization. - 9. Differentiation in Banach Spaces. - 10. Local Theory of Optimization. - 11. General Measure and Integration. - 12. Differentiation and Integration. - 13. Hilbert Spaces. - 14. Probability Theory.
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Measure Theoretic Calculus;Infinite-Dimensional Spaces;Measure Theory;General Integration Theory;Lebesgue Dominated Convergence Theorem;Banach Space Valued Measure;Change of Variable Between Measure Spaces;Banach Space of Measures;Mode of Convergence;Bounded Convergence Theorem;Optimization by Vector Space Method;Hahn-Banach Theorem;Mapping Theorems;Sobolev Space