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(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

Key words and phrases: Banach valued Brownian motion, central limit theorem, Schauder decomposition, second difference, skew pyramidal basis.. Letting the modulus ρ vary gives a

In this paper, we investigate the existence of solutions for nonlinear mixed Volterra- Fredholm integrodifferential equation of second order with nonlocal conditions in Banach

Krasnosel’ski˘ı fixed point theorem has been extensively used in differential and functional differential equations, by Burton in proving the existence of periodic solutions..

Electronic Journal of Qualitative Theory of Differential Equations 2008, No. In this paper we prove the existence of mild solutions for semilinear neutral functional

In this paper, we consider a two-point boundary value problem involving fractional semilinear evolution equations and prove some existence results in a Banach space...

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

Key words and phrases: seminorms, Hahn-Banach theorem, Gel’fand pairs, Gel’fand measures, orthogonal projections and rank one operators in Hilbert spaces..