Abramovich Y., Avgerinos E., Yannelis N.C. (eds.) Functional Analysis and Economic Theory

Springer, 1998. — 300 p. — ISBN: 9783642722240, EISBN: 9783642722226Yuri Abramovich, Arkady Kitover (auth.), Professor Yuri Abramovich, Dr. Evgenios Avgerinos, Professor Nicholas C. Yannelis (eds.)In July of 1996, the conference Nonlinear Analysis and its Applications in Engineering and Economics took place on the Greek island of Samos, the birthplace of Pythagoras. During this conference, a special session was held on th the occasion of the 50 birthday of the well known mathematician and mathematical economist Professor Charalambos Aliprantis, who, by his numerous friends, is usually called Roko. The story behind this nickname is not quite clear yet; it will be investigated further and will be made public prior to his th 60 birthday. (At this moment we have already found out that it has nothing to do with the famous movie Rocco and his Brothers even though Roko does have two brothers. ) Roko was born on the Greek island of Cephalonia on May 12,1946, and his elementary and secondary school education took place there. At 18 he entered the Mathematics Department at the University of Athens. Upon graduation from the University of Athens he proceeded with his graduate studies at Caltech, where in 1973 he completed his Ph. D. degree in Mathematics under the supervision of Professor W. A. J. Luxemburg. His research career can be divided into two periods. The first one, till 1981, was devoted entirely to pure mathematics. The other one, after 1981, has been subdivided between pure mathematics and mathematical economics. The main objects of Roko's work in pure mathematics are spaces with order structure (Riesz spaces) and operators acting on them.Bijective Disjointness Preserving Operators
A Remark on Positive Isotropic Random Vectors
A Topological Approach to the Study of Fuzzy Measures
On the Ranges of Additive Correspondences
Extremal Vectors for a Class of Linear Operators
Towards a Theory of Nonlinear Orthomorphisms
Finitely Generated Vector Sublattices
Duality in Operator Spaces
Topological Transitivity and Recurrence as a Source of Chaos
Order Bounded Operators May be Far from Regular
Implicit Programming and the Invariant Manifold for Ramsey Equilibria
An Approach to Bargaining for General Payoffs Regions
Social States of Belief and the Determinant of the Equity Risk Premium in a Rational Belief Equilibrium
Quasi-Equilibrium and Equilibrium in a Large Production Economy with Differentiated Commodities
An Exact Implementation of the Nash Bargaining Solution in Dominant Strategies
On the Existence of a Temporary Unemployment Equilibrium
On the Existence of a Bayesian Nash Equilibrium