Separate and Joint Continuity
portes grátis
Separate and Joint Continuity
Moors, Warren B.; Cao, Jiling
Taylor & Francis Ltd
07/2024
158
Dura
9781032754765
Pré-lançamento - envio 15 a 20 dias após a sua edição
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1. Introduction. 1.1. Background. 1.2. Baire and Related Spaces. 1.3. Quasicontinuous Functions. 1.4. Set-Valued Mappings. 1.5. Basics of Function Spaces. 1.6. Concepts in Banach Spaces. 1.7. Commentary and Exercises. 2. Fundamental Results. 2.1. Fundamental Questions. 2.2. First Countable Spaces. 2.3. q-Spaces. 2.4. Second Countable Spaces. 2.5. Separately Quasicontinuous Functions. 6. Piotrowski's Theorem. 2.7. Talagrand's Problem. 2.8. Commentary and Exercises. 3. Continuity of Group Actions and Operations. 3.1. Semitopological and Paratopological Groups. 3.2. ?-Baire Spaces. 3.3. Continuity of Group Actions. 3.4. Some Counterexamples. 3.5. Miscellaneous Applications. 3.6. Commentary and Exercises. 4. Namioka Theorem and Related Spaces. 4.1. Namioka Theorem. 4.2. Namioka Theorem - a Functional Analytic Proof. 4.3. Namioka Spaces. 4.4. Co-Namioka Spaces. 4.5. Commentary and Exercises. 5. Various Applications. 5.1. Point of Continuity Properties. 5.2. Minimal USCO Mappings. 5.3. Ryll-Nardzewski Fixed-Point Theorem. 5.4. Differentiability of Continuous Convex Functions. 5.5. Applications in Variational Analysis. 6. Future Directions and Open Problems. 6.1. Topologies of Separate and Joint Continuity. 6.2. Semitopological and Paratopological Groups. 6.3. Namioka Spaces. 6.4. Co-Namioka and Related Spaces. 6.5. Baire Measurability of Separately Continuous Functions. 6.6. Sets of Discontinuity Points of Separately Continuous Functions. 6.7. Various Maslyuchenko Spaces.
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topology;banach spaces;functional analysis;Rene Baire;Namioka Theorem
1. Introduction. 1.1. Background. 1.2. Baire and Related Spaces. 1.3. Quasicontinuous Functions. 1.4. Set-Valued Mappings. 1.5. Basics of Function Spaces. 1.6. Concepts in Banach Spaces. 1.7. Commentary and Exercises. 2. Fundamental Results. 2.1. Fundamental Questions. 2.2. First Countable Spaces. 2.3. q-Spaces. 2.4. Second Countable Spaces. 2.5. Separately Quasicontinuous Functions. 6. Piotrowski's Theorem. 2.7. Talagrand's Problem. 2.8. Commentary and Exercises. 3. Continuity of Group Actions and Operations. 3.1. Semitopological and Paratopological Groups. 3.2. ?-Baire Spaces. 3.3. Continuity of Group Actions. 3.4. Some Counterexamples. 3.5. Miscellaneous Applications. 3.6. Commentary and Exercises. 4. Namioka Theorem and Related Spaces. 4.1. Namioka Theorem. 4.2. Namioka Theorem - a Functional Analytic Proof. 4.3. Namioka Spaces. 4.4. Co-Namioka Spaces. 4.5. Commentary and Exercises. 5. Various Applications. 5.1. Point of Continuity Properties. 5.2. Minimal USCO Mappings. 5.3. Ryll-Nardzewski Fixed-Point Theorem. 5.4. Differentiability of Continuous Convex Functions. 5.5. Applications in Variational Analysis. 6. Future Directions and Open Problems. 6.1. Topologies of Separate and Joint Continuity. 6.2. Semitopological and Paratopological Groups. 6.3. Namioka Spaces. 6.4. Co-Namioka and Related Spaces. 6.5. Baire Measurability of Separately Continuous Functions. 6.6. Sets of Discontinuity Points of Separately Continuous Functions. 6.7. Various Maslyuchenko Spaces.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
