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On biorthogonal systems whose functionals are finitely supported

Christina Brech, Piotr Koszmider (2011)

Fundamenta Mathematicae

We show that for each natural number n > 1, it is consistent that there is a compact Hausdorff totally disconnected space $K_{2 n}$ such that $C (K_{2 n})$ has no uncountable (semi)biorthogonal sequence ${(f_{ξ}, μ_{ξ})}_{ξ \in ω ₁}$ where $μ_{ξ}$ ’s are atomic measures with supports consisting of at most 2n-1 points of $K_{2 n}$ , but has biorthogonal systems ${(f_{ξ}, μ_{ξ})}_{ξ \in ω ₁}$ where $μ_{ξ}$ ’s are atomic measures with supports consisting of 2n points. This complements a result of Todorcevic which implies that it is consistent that such spaces do not exist: he proves that its is...

We study geodesic completeness for left-invariant Lorentz metrics on solvable Lie groups.

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Displaying 21 – 40 of 98

On biorthogonal systems whose functionals are finitely supported

On bounded biorthogonal systems in some function spaces

On Calderón-Toeplitz Operators.

On complemented subspaces and unconditional bases in $l_{p} + l_{q}$

On completeness of left-invariant Lorentz metrics on solvable Lie groups.

On finite dimensional subspaces of Banach spaces with local unconditional structure

On Fourier series in eigenfunctions of elliptic boundary value problems.

On integral transforms of Haar functions

On large random almost euclidean bases.

On linear properties of separable conjugate spaces of C*-algebras

On minimal sequences of type $l_{+}$ and bounded biorthogonal systems in Banach spaces

On nearly euclidean decomposition for some classes of Banach spaces

On non-separable Banach spaces with a symmetric basis

On polynomial equations in Banach space, perturbation techniques and applications.

On projections and unconditional bases in direct sums of Banach spaces

On projections and unconditional bases in direct sums of Banach spaces II

On projections in H¹ and BMO

On quotients of $L_{p}$ which are quotients of $ℓ_{p}$

On reflexivity and summability

On restriction properties of multiplication operators.

Currently displaying 21 – 40 of 98