Pascal Lefèvre (1999)
Studia Mathematica
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We establish new connections between some classes of lacunary sets. The main tool is the use of (p,q)-summing or weakly compact operators (for Riesz sets). This point of view provides new properties of stationary sets and allows us to generalize to more general abelian groups than the torus some properties of p-Sidon sets. We also construct some new classes of Riesz sets.
Wojciech Wojtyński (1994)
Studia Mathematica
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An algebraic scheme for Lie theory of topological groups with "large" families of one-parameter subgroups is proposed. Such groups are quotients of "𝔼ℝ-groups", i.e. topological groups equipped additionally with the continuous exterior binary operation of multiplication by real numbers, and generated by special ("exponential") elements. It is proved that under natural conditions on the topology of an 𝔼ℝ-group its group multiplication is described by the B-C-H formula in terms of the...
Seneta, E. (2002)
Publications de l'Institut Mathématique. Nouvelle Série
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Gustaf Gripenberg (1995)
Studia Mathematica
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Pablo Galindo, Domingo Garciá, Manuel Maestre, Jorge Mujica (1994)
Studia Mathematica
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Francisco Hernandez, Stanimir Troyanski (1993)
Studia Mathematica
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It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.