Leopoldo Nachbin, Jewish Brazilian mathematician Son of Polish father and Austrian mother
ACHIEVEMENTS Published 110 papers
Performed pioneer works about holomorphy in infinite dimension
Realized the first systematic study of topological vector spaces (1948)
Presented required and sufficient conditions in order to a continuous functions space to be bornological
Defined certain weighted spaces and compact element in a lattice
Initiated the study of topological ordered spaces Demonstrated that a distributive lattice displaying elements 0 and 1 where all prime filter is maximal is a Boolean algebra (1947)
Established conditions for a continuous functions subspace of compact basis be located under a subalgebra of continuous functions algebra
Nachbin theorem
Obtained the concept of semi-uniform structures. Sur les espaces topologiques ordonnés. C.R. Acad. Sci. Paris 226:381-2, 1948.
Introduced concept of compactness On a characterization of the lattice of all ideals in a Bollean ring. Fund. Mathematicae 36:137-142, 1949.
Proved that every non-discrete valuable topological division ring is strictly minimal On strictly minimal topological division rings. Bull. Amer. Math. Soc. 55:1128-36, 1949.
Nachbin-Goodner-Kelley theorem A theorem of the Hahn-Banach type for linear transformations. Trans. Amer.Math. Soc. 68:28-46, 1950.
Hewitt-Nachbin spaces On the continuity of positive linear transformations. Proc. Intern. Congress of Math. Cambridge, Mass. 1950. Vol I, Amer. Math. Soc, Providence, R.I., 464-5, 1952.
Nachbin-Shirota theorem Topological Vector Spaces of Continuous Functions. Proceed. National Acad. Sciences 40:471-2, 1954.
Formulated a conjecture about Weierstrass approximation theorem Formulação geral do teorema de aproximação de Weierstrass para funções diferenciáveis, Tópicos de topologia, Expos. De Mat 3, Univ. Ceará, Fortaleza, Ceará, 1961.
Bernstein-Nachbin approximation Weighted approximation over topological spaces and the Bernstein problem over finite dimensional vector spaces. Topology 3, Suppl. 1:125-30, 1964.
Introduced topology Tau omega On the topology of the space of all holomorphic functions on a given open subset, Indag. Math. 29:366-8, 1967.
Introduced Topology Tau epsilon Sur les espaces vetorels topologiques d’applications continues. C.R. Acad. Sci. Paris 271:596-8, 1970.
Authored the thesis
Topologia e Ordem (in English Topology and Order) in 1950, later translated to English and edited by Van Nostrand from Princeton in 1965. This book displayed new concepts such as a completely regularly ordered space and first to explicity define the notion of a pospace Authored
The Haar Integral (1965), worldwide used in mathematical courses
Notion of fundamental weight Concept of quase-uniform space Ideal completion of a sup-semilattice Notion of holomorphy type Holomorphic Mackey spaces ((with J.A. Barroso & M.C. Matos) Concept of uniform holomorphy Concept of weighted spaces of continuous real-valued functions
Concept of locally weighted
convex spaces of continuous scalar functions on a topological space
Concept
of localizability in weighted approximation problem
Houssay Prize from OAS (1982) George Eastman Professor of Mathematics, University of Rochester (1967) created for him First Brazilian Mathematician invited to give conference at International Congress of Mathematicians in Stockholm (1962)
Nachbin uniform structure Nachbin lemma Nachbin family Nachbin topology Nachbin compactification Nachbin property Urysohn-Nachbin extension and separation theorems Nachbin cones Nachbin ported topologies Nachbin m-algebras Nachbin polynomial
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