02463nam 2200505 450 991081251580332120170821170923.01-4704-0034-0(CKB)3360000000464325(EBL)3113650(SSID)ssj0000973411(PQKBManifestationID)11552370(PQKBTitleCode)TC0000973411(PQKBWorkID)10960119(PQKB)11496158(MiAaPQ)EBC3113650(RPAM)0000000717(PPN)195409698(EXLCZ)99336000000046432520750522d1969 uy| 0engur|n|---|||||txtccrDenjoy integration in abstract spaces /by Donald W. SolomonProvidence :American Mathematical Society,1969.1 online resource (75 p.)Memoirs of the American Mathematical Society ;number 85Cover title.0-8218-1285-8 Bibliography: pages 68-69.""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""""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""Memoirs of the American Mathematical Society ;no. 85.Generalized spacesGeneralized spaces.Solomon Donald William1941-1660913MiAaPQMiAaPQMiAaPQBOOK9910812515803321Denjoy integration in abstract spaces4016482UNINA