University of Bucharest, Bucharest, 1982, Ph.D. in Mathematics, Dissertation: "Extending Linear Operators on Ordered Spaces."
Prof. Dr. Ion Colojoară, advisor.
University of Bucharest, Bucharest, 1974, Specialization in Mathemathical Analysis, materialized in the work: "Linear Positive Functionals."
University of Bucharest, Bucharest, 1973, B.A. in Mathematics.
RESEARCH INTERESTS (a more detailed list can be found here)
Theorems of extension of linear operators with two constraints,
with applications to some Markov-type moment problems.
Elements of theory of topological ordered vector spaces, applied to concrete spaces of
functions and self-adjoint operators.
A "construction" of the global inverse of a "strictly monotone" convex operator, with applications
to the construction of the "strictly decreasing" solution of an operatorial equation, formulated implicitly.
The implicit function theorem for complex-differentiable functions.
Some integral formulae, with an application to approximation theory, and further applications
to the Markov moment problem on an unbounded interval.
Sandwich-type theorems, on unbounded finite-simplicial convex subsets.
Elements of uniform approximation of continuous functions on
Elements of convex analysis.
Some applications of elementary analysis to algebra and arithmetic.
A variant of Newton's method for convex strictly monotone operators.
Topology and its connections to other domains.
Calculus of variations.
Applications of optimization and approximation theory.
Polynomial approximation on unbounded subsets.
Invariant subspaces and balls of bounded linear operators.
Characterizing isotonicity of convex operators on a convex cone.
Courses (and seminars) taught:
Mathematical Analysis I,
Mathematical Analysis II,
Analytical and Differential Geometry,
Master Programs on Convex Analysis and Operational Research.
O. Olteanu, An implicit function theorem for convex not necessarily differentiable functions.
Central Institute of Mathematics, 1988.
O. Olteanu, A separation-detachment theorem for convex sets in normed linear spaces and its
consequences. Central Institute of Mathematics, 1989.
Copenhagen University, Denmark, Functional Analysis Seminar, TEMPUS Travel Grant, 1992.
Universite Pierre et Marie Curie - Paris VI, France, Seminaire d'Initiation a l'Analyse, TEMPUS Travel Grant, 1992.
I have refereed for the following journals:
U.P.B. Scientific Bulletin, Series A; Mathematical Reports;
Rev. Roumaine Math. Pures Appl.;
J. Adv. Math. Studies (member of the Editorial Advisory Board and referee);
Journals edited by Geometry Balkan Press;
Rendiconti del Circolo Matematico di Palermo;
J. Adv. Res. Pure Math.;
Mathematical Reviews, A.M.S.
Current activity for:
"UPB Scientific Bulletin, Series A: Applied Mathematics and Physics" (reviewer);
"Mathematics" and "Symmetry" MDPI (reviewer);
"MathLAB Journal" (reviewer);
"Applied Sciences" (member of the Editorial Board).
Ph.D. Committees Served:
Gheorghe Simion (Mathematics, University Politehnica of Bucharest),
Daniel C. Stanică (Mathematics, University of Bucharest),
Ghassan Barakat (Mathematics, University of Bucharest),
Janina Mihaela Mihaila (Mathematics, Ph. Dissertation presented in U.P.B.).