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Then yet another application of the ergodic theorem and a factorization lemma (Lemma 4.3) show that the limit of the space averages equals the probability average at a point in
(2) Theorem 7(b) for Banach spaces and Γ = X ′ is proved in [9]; the case of complete separable metrizable topological vector spaces and arbitrary Γ is considered in [10] (see also
M¨onch, Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces. O’Regan, Fixed point theory for weakly sequentially continuous
Our approach relies on the variable exponent theory of Lebesgue and Sobolev spaces combined with adequate variational methods and the Mountain Pass Theorem.. Keywords and
In this short paper we prove the equivalence between the Radon- Nikodym Theorem for reflexive Banach spaces and the representability of weakly compact operators with domain L 1 ( µ
girls, which contradicts the appeal for single-sex schooling.. year levels, the only students who thought they received more. attention were at the single-sex school but the
TRAVIS KOWALSKI Weakly regular embeddings of Stein spaces with isolated singularities 141 JASNA PREZELJ A de Rham theorem for symplectic quotients 153 REYER SJAMAAR Kepler's small
To investigate the linear relationship between the independent variables: Algebra, Functions, Trigonometry and Complex Numbers, Calculus and Differential Equations, and Probability, and