02844nam 2200589 450 991048012460332120170918215900.01-4704-0257-2(CKB)3360000000464386(EBL)3113640(SSID)ssj0000973269(PQKBManifestationID)11542079(PQKBTitleCode)TC0000973269(PQKBWorkID)10959863(PQKB)10788347(MiAaPQ)EBC3113640(PPN)195410858(EXLCZ)99336000000046438620780313h19781978 uy| 0engur|n|---|||||txtccrKernels and integral operators for continuous sums of Banach spaces /Irwin E. SchochetmanProvidence :American Mathematical Society,[1978]©19781 online resource (129 p.)Memoirs of the American Mathematical Society ;number 202Description based upon print version of record.0-8218-2202-0 Bibliography: pages 120.""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""Memoirs of the American Mathematical Society ;no. 202.Continuous sums of Banach spacesBanach spacesIntegral operatorsKernel functionsElectronic books.Banach spaces.Integral operators.Kernel functions.515/.73Schochetman Irwin E.1939-953605MiAaPQMiAaPQMiAaPQBOOK9910480124603321Kernels and integral operators for continuous sums of Banach spaces2212712UNINA