Holomorphy and calculus in normed spates. (2020)

• Record Type: Book
• Further Information: Note: S.B. Chae.
• Authors: Chae, S. B
• Contents: Part I: Normeo Spaces and Differential Calculus 1. Normed Spaces 2. Linear Maps 3. Multilinear Maps 4. Polynomials 5. Differential Maps 6. Mean Value Theorem 7. Higher Differentials 8. Finite Expansions and Taylor's Formula Part II: Holomorphic Mappings 9. Holomorphic Functions of a Complex Variable 10. The Strong Maximum Modulus Theorem 11. Power Series 12. Analytic Mappings 13. Holomorphic Mappings 14. Gateaux Ho1omorphy 15. Radius of Boundedness Part III: Topologies on Spaces of Holomorphic Mappings 16. The Compact Open Topology on H(U;F) 17. The Nachbin Topology on H(U;F) 18. The Bornological Topology on H{U;F) 19. Domains of Holomorphy 20. The Levi Problem in Banach Spaces 21. Spaces of Holomorphic Germs
• Edition: 1st
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 515.98; Holomorphic mappings; Differential calculus
• Languages: English
• ISBNs: 9781000146530
• Related ISBNs: 9781000110685; 9781000126945; 9781003065296
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.