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Accession Number:
AD0288009
Title:
A CONTRIBUTION TO THE ASYMPTOTIC ANALYSIS IN LATTICE-ORDERED GROUPS
Corporate Author:
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Report Date:
1962-09-01
Abstract:
Let fx be a real-valued and continuous function defined on R . It is well-known that if, for every fixed t , lim fx t - fx O , as x approaches infinity, then the convergence is uniform for t in any closed interval. The statement still holds for functions of several variables, i.e., in the ordered real space R to the nth power with the Pringsheim definition of convergence. One can show this by considering real valued functions defined on a latticeordered group. It is then possible to obtain some extension of this result if one requires that the lattice satisfies some appropriate conditions and if one takes the Moore-Smith definition of convergence. Author
Pages:
0001
Contract Number:
DA11 022ORD2059
File Size:
0.00MB
