LEADER 02841nam 2200589 450 001 9910829186803321 005 20170918215900.0 010 $a1-4704-0257-2 035 $a(CKB)3360000000464386 035 $a(EBL)3113640 035 $a(SSID)ssj0000973269 035 $a(PQKBManifestationID)11542079 035 $a(PQKBTitleCode)TC0000973269 035 $a(PQKBWorkID)10959863 035 $a(PQKB)10788347 035 $a(MiAaPQ)EBC3113640 035 $a(RPAM)3681511 035 $a(PPN)195410858 035 $a(EXLCZ)993360000000464386 100 $a20780313h19781978 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aKernels and integral operators for continuous sums of Banach spaces /$fIrwin E. Schochetman 210 1$aProvidence :$cAmerican Mathematical Society,$d[1978] 210 4$dİ1978 215 $a1 online resource (129 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 202 300 $aDescription based upon print version of record. 311 $a0-8218-2202-0 320 $aBibliography: pages 120. 327 $a""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"" 327 $a""12. Uniform continuity and measurability""""13. Finite-rank kernels""; ""14. Hilbert-Schmidt kernels""; ""CHAPTER IV. INTEGRAL OPERATORS AND COMPACTNESS""; ""15. Integral operators""; ""16. Compact operators""; ""17. Hilbert-Schmidt operators""; ""18. Trace-class operators""; ""CHAPTER V. APPLICATION TO INDUCED BANACH REPRESENTATIONS""; ""19. Induced Banach representations""; ""20. The integrated form""; ""21. Compactness for induced representations""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 202. 517 3 $aContinuous sums of Banach spaces 606 $aBanach spaces 606 $aIntegral operators 606 $aKernel functions 615 0$aBanach spaces. 615 0$aIntegral operators. 615 0$aKernel functions. 676 $a515/.73 700 $aSchochetman$b Irwin E.$f1939-$01639838 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829186803321 996 $aKernels and integral operators for continuous sums of Banach spaces$93983075 997 $aUNINA