Kernels and integral operators for continuous sums of Banach spaces / / Irwin E. Schochetman

• Autore: Schochetman Irwin E. <1939->
• Pubblicazione: Providence : , : American Mathematical Society, , [1978]; ©1978
• Descrizione fisica: 1 online resource (129 p.)
• Disciplina: 515/.73
• Soggetto topico: Banach spaces; Integral operators; Kernel functions
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Bibliography: pages 120.
• Nota di contenuto: ""CONTENTS""; ""CHAPTER 0. INTRODUCTION, BACKGROUND, AND PRELIMINARIES""; ""CHAPTER I. CONTINUOUS AND MEASURABLE VECTOR FIELDS""; ""1. Continuity structures and continuity""; ""2. Equicontinuity""; ""3. Measurability""; ""4. Product spaces""; ""CHAPTER II. CONTINUOUS SUMS OF BANACH SPACES""; ""5. Spaces of continuous vector fields""; ""6. Lebesgue spaces""; ""7. Mixed-norm Lebesgue spaces""; ""8. Dual continuity structures""; ""CHAPTER III. KERNEL FIELDS""; ""9. Norm formulas""; ""10. Strong continuity and measurability""; ""11. Weak continuity and measurability"" ; ""12. Uniform continuity and measurability""""13. Finite-rank kernels""; ""14. Hilbert-Schmidt kernels""; ""CHAPTER IV. INTEGRAL OPERATORS AND COMPACTNESS""; ""15. Integral operators""; ""16. Compact operators""; ""17. Hilbert-Schmidt operators""; ""18. Trace-class operators""; ""CHAPTER V. APPLICATION TO INDUCED BANACH REPRESENTATIONS""; ""19. Induced Banach representations""; ""20. The integrated form""; ""21. Compactness for induced representations""; ""REFERENCES""
• Altri titoli varianti: Continuous sums of Banach spaces
• Titolo autorizzato: Kernels and integral operators for continuous sums of Banach spaces
• ISBN: 1-4704-0257-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910829186803321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 202.