Background
Uhl, John Jerry was born on June 27, 1940 in Pittsburgh. Son of John Jerry Senior and Mary Elizabeth (Junge) Uhl.
(Funded as part of the National Science Foundation's Calcu...)
Funded as part of the National Science Foundation's Calculus Reform Initiative, this is the first completely interactive calculus courseware available. Includes 4 volumes. Windows Version 1.0. Paper casebound.
http://www.amazon.com/gp/product/0201581507/?tag=2022091-20
(In this survey the authors endeavor to give a comprehensi...)
In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces.A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.
http://www.amazon.com/gp/product/0821815156/?tag=2022091-20
Uhl, John Jerry was born on June 27, 1940 in Pittsburgh. Son of John Jerry Senior and Mary Elizabeth (Junge) Uhl.
Bachelor of Science, William and Mary College, 1962; Master of Science, Carnegie Technology, 1964; Doctor of Philosophy, Carnegie Technology, 1966.
Chief science analysis, Defense Intelligence Computer Center, Arlington, Virginia, 1966-1968; assistant professor math, University of Illinois, Urbana, 1968-1972; associate professor math, University of Illinois, Urbana, 1972-1975; professor math, University of Illinois, Urbana, since 1975.
(Funded as part of the National Science Foundation's Calcu...)
(In this survey the authors endeavor to give a comprehensi...)
Captain United States Army, 1966-1986. Member American Mathematics Society (county 1984-1986), Mathematics Association of America, Society Industrial and Applied Mathematics, National Council Teachers Mathematics American Forestry Association, Bernses Mountain Dog Club of America.