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On Mackey topology for groups

M. ChascoE. Martín-PeinadorV. Tarieladze — 1999

Studia Mathematica

The present paper is a contribution to fill in a gap existing between the theory of topological vector spaces and that of topological abelian groups. Topological vector spaces have been extensively studied as part of Functional Analysis. It is natural to expect that some important and elegant theorems about topological vector spaces may have analogous versions for abelian topological groups. The main obstruction to get such versions is probably the lack of the notion of convexity in the framework...

Free radical reactions in thioamino acids: cystine and cysteine

Maurizio TambaRoberto BadielloE. Martin Fielden — 1974

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Sono state irradiate con la tecnica della radiolisi ad impulsi soluzioni acquose diluite di cistina e cisteina. Si riportano gli spettri di assorbimento dei transienti nelle differenti condizioni sperimentali e si discute la natura delle specie radicaliche coinvolte. Si riportano dati cinetici sulla formazione e decadimento delle specie e si suggerisce il relativo meccanismo di reazione.

Two geometric constants for operators acting on a separable Banach space.

E. Martín PeinadorE. InduráinA. Plans Sanz de BremondA. A. Rodes Usan — 1988

Revista Matemática de la Universidad Complutense de Madrid

The main result of this paper is the following: A separable Banach space X is reflexive if and only if the infimum of the Gelfand numbers of any bounded linear operator defined on X can be computed by means of just one sequence on nested, closed, finite codimensional subspaces with null intersection.

Further higher monotonicity properties of Sturm-Liouville functions

Zuzana DošláMiloš HáčikMartin E. Muldoon — 1993

Archivum Mathematicum

Suppose that the function q ( t ) in the differential equation (1) y ' ' + q ( t ) y = 0 is decreasing on ( b , ) where b 0 . We give conditions on q which ensure that (1) has a pair of solutions y 1 ( t ) , y 2 ( t ) such that the n -th derivative ( n 1 ) of the function p ( t ) = y 1 2 ( t ) + y 2 2 ( t ) has the sign ( - 1 ) n + 1 for sufficiently large t and that the higher differences of a sequence related to the zeros of solutions of (1) are ultimately regular in sign.

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