LEADER 02463nam 2200505 450 001 9910788604603321 005 20170821170923.0 010 $a1-4704-0034-0 035 $a(CKB)3360000000464325 035 $a(EBL)3113650 035 $a(SSID)ssj0000973411 035 $a(PQKBManifestationID)11552370 035 $a(PQKBTitleCode)TC0000973411 035 $a(PQKBWorkID)10960119 035 $a(PQKB)11496158 035 $a(MiAaPQ)EBC3113650 035 $a(RPAM)0000000717 035 $a(PPN)195409698 035 $a(EXLCZ)993360000000464325 100 $a20750522d1969 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDenjoy integration in abstract spaces /$fby Donald W. Solomon 210 1$aProvidence :$cAmerican Mathematical Society,$d1969. 215 $a1 online resource (75 p.) 225 1 $aMemoirs of the American Mathematical Society ;$vnumber 85 300 $aCover title. 311 $a0-8218-1285-8 320 $aBibliography: pages 68-69. 327 $a""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I. BASIC THEOREMS, DEFINITIONS AND NOTATION""; ""1. The Domain and Range""; ""2. The Fundamental Sets""; ""3. Two Fundamental Principles""; ""4. Bounded Variation and Absolute Continuity""; ""5. The Burkill Integral""; ""6. Measurability and Differentiation""; ""7. Romanovski's Integral""; ""8. Lebesgue Integrals""; ""CHAPTER II. A GENERAL CLASS OF INTEGRALS""; ""1. The General D-Integral""; ""2. Some Specific Integrals""; ""CHAPTER III. LEBESGUE INTEGRABILITY IN SPECIAL SPACES""; ""1. Uniformly Convex Spaces""; ""2. Weakly Complete Spaces"" 327 $a""3. Banach Spaces with Separable Duals""""CHAPTER IV. DENJOY INTEGRATION OF FUNCTIONS WITH SPECIAL DOMAIN AND RANGE""; ""1. Weakly Complete Spaces""; ""2. Spaces with Separable Conjugate""; ""3. Weakly Complete Spaces with Separable Dual""; ""4. Finite-Dimensional Banach Spaces""; ""5. Real-Valued Functions of a Real Variable""; ""CHAPTER V. EXAMPLES AND REMARKS""; ""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 85. 606 $aGeneralized spaces 615 0$aGeneralized spaces. 700 $aSolomon$b Donald William$f1941-$01567288 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788604603321 996 $aDenjoy integration in abstract spaces$93838616 997 $aUNINA