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Complemented subspaces of J-sums of Banach spaces
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Complemented subspaces of J-sums of Banach spaces
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We study the complemented subspaces of the $J$-sums of Banach spaces $J(\Phi)$ and $\hat J(\Phi)$ introduced by Bellenot. As an application, we show that, under some conditions, $J(\Phi)$ and $\hat J(\Phi)$ are subprojective, i.e., every closed infinite-dimensional subspace of either of them contains a complemented infinite-dimensional subspace.
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Cited by 1 Pith paper
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Amenability constants for unconditional sums of Banach algebras
For c0-type sequence lattices E, the E-sum of Banach algebras is amenable exactly when the summands' amenability constants are uniformly bounded, with the sum's constant between the supremum and C_E^2 times that supremum.
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