Download e-book for kindle: Vector Measures (Mathematical Surveys, Number 15) by J. Diestel, J. J. Uhl

By J. Diestel, J. J. Uhl

ISBN-10: 0821815156

ISBN-13: 9780821815151

During this survey the authors recreation to offer a finished exam of the speculation of measures having values in Banach areas. The interaction among topological and geometric houses of Banach areas and the houses of measures having values in Banach areas is the unifying subject. the 1st bankruptcy offers with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its kin. bankruptcy II concentrates on measurable vector valued capabilities and the B?chner quintessential. bankruptcy III starts the research of the interaction one of the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological homes of Banach areas. various functions is given within the subsequent bankruptcy. bankruptcy V bargains with martingales of B?chner integrable services and their relation to dentable subsets of Banach areas. bankruptcy VI is dedicated to a measure-theoretic examine of weakly compact completely summing and nuclear operators on areas of constant features. In bankruptcy VII a close research of the geometry of Banach areas with the Radon-Nikodym estate is given. the following bankruptcy bargains with using Radon-Nikodym theorems within the research of tensor items of Banach areas. The final bankruptcy concludes the survey with a dialogue of the Liapounoff convexity theorem and different geometric homes of the variety of a vector degree.

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Download e-book for iPad: Vector Measures (Mathematical Surveys, Number 15) by J. Diestel, J. J. Uhl

During this survey the authors pastime to provide a accomplished exam of the idea of measures having values in Banach areas. The interaction among topological and geometric houses of Banach areas and the homes of measures having values in Banach areas is the unifying topic. the 1st bankruptcy bargains with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relations.

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In this particular molecule, which does not ionize, the head group is larger than the tail group. Zwitterionic: 3-dimethyldodecylamine propane sulfonate + C 12 H 25 - N -CH 2 -CH 2 -CH 2 -S03 . I Me2 Chain (Tail) Li near or Branched Hydrocarbon or Fluorocarbon R • Hydrocarbon Group (Nonpolar) Head Group Fig. S-Schematic of surface-active molecule. 10 Fig. 6-Representative surfactant molecular structures: (a) sodium dodecyl sulfate, (b) Texas No. 1 sulfonate, and (c) commercial petroleum sulfonates.

Fig. 21 also illustrates the existence of plait points on the binodal curve where the two phases are indistinguishable and the 1FT approaches zero. In some systems, the excess phases are not necessarily pure water or oil as shown in the figure. Both of the equilibrium phases in a two-phase system may be micellar solutions. The plait point shifts with salinity, as Fig. 21 indicates. The three-phase region is a characteristic of the thermodynamic properties of liquid systems and is not unique to surfactant/oil/brine Surfactant Surfactant Surfactant ~)Wl+b -~ Surfactant .........

1971), 23, 873-878. 42. Pickell, J. , Swanson, B. F. and Hickman, W. , "Application of Air-Mercury and Oil-Air Capillary Pressure Data in the Study of Pore Structure and Fluid Distribution," Soc. Petrol. Eng. , 55-61. 43. , "Statique Experimentale et Theoretique des Liquides, (1873). , 44. Purcell, W. , "Capillary Pressures - Their Measurement Using Mercury and the Calculation of Permeability Therefrom," Petrol. Trans. AIME, (1949), 186, 39-48. 45. Purcell, W. , "Interpretation of Capillary Pressure Data," Petrol.

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Vector Measures (Mathematical Surveys, Number 15) by J. Diestel, J. J. Uhl


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