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Ph.D., Universitat Zurich
Office: Wean Hall 6206
Functional analysis is an essential component of most of my recent research. One main area is the theory of ordinary and functional differential equations. Continuing the work developed in the monograph by J.L. Massera and myself, Linear Differential Equations and Function Spaces (Academic Press, 1966), I have, often in collaboration with C.V. Coffman (CMU), obtained results on the conditional stability and structure of linear functional differential equations with bounded and unbounded delays, under very general "natural Caratheodory conditions."
Another of my areas of interest is the geometry of normed spaces. My earlier work on certain metric parameters of the unit spheres is described in the monograph Geometry of Spheres in Normed Spaces (M. Dekker, 1976), and I'm continuing research on the isometric and isomorphic properties of these parameters. I'm also currently pursuing research, partly in collaboration with W. Noll (CMU), on geometry and analysis in linear cones, with applications to continuum mechanics.