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On summing multipliers and applications
(Academic press, 2001-01-01)
A scalar sequence (αi) is said to be a p-summing multiplier of a Banach space E, if ∑∞i = 1‖αixi‖p < ∞ for all weakly p-summable sequences in E. We study some important properties of the space mp(E) of all p-summing ...
On convergence of sections of sequences in Banach spaces
(Springer-verlag, 2000-02-01)
An elementary proof of the (known) fact that each element of the Banach spaceℓ w p (X) of weakly absolutelyp-summable sequences (if 1≤p<∞) in the Banach spaceX is the norm limit of its sections if and only if each element ...
Spaces of compact operators and their dual spaces
(Business mathematics and informatics, 2002)
Theω′-topology on the spaceL(X, Y) of bounded linear operators from the Banach spaceX into the Banach spaceY is discussed in [10]. Let ℒw' (X, Y) denote the space of allT∈L(X, Y) for which there exists a sequence of compact ...
Measurable feller semigroups on rn
(2007)
Fractional derivatives are used to model anomalous diffusion, which occurs when the particles spread in a different manner than the prediction of
the classical diffusion equation
∂
∂tu(x, t) = D
∂
2
∂x2
u(x, t), ...