Entisarat M. Elshobaky

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(1) If Y is a finite Co-dimensional subspace of a Banach space X and Z is its complementation, is for every projection P0 from X onto Z and every 2 > 0 there a projection P from X onto Y satisfying (1) ‖P‖ ≤ 1 + (1 + 2)‖P0‖? (2) If X is a Banach space, x ∈ X, Y is an n-CO-dimensional subspace of X and ({fi, xi}i=1) is the Auerbach system of the(More)
We study the asymptotic distribution of eigenvalues of integral operators Tk defined by kernels k which belong to Triebel-Lizorkin function space Fσ pu(F qv) by using the factorization theorem and the Weyl numbers xn. We use the relation between Triebel-Lizorkin space Fσ pu(Ω) and Besov space Bτ pq(Ω) and the interpolation methods to get an estimation for(More)
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