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The wavelet type systems

Barbara Wolnik (2006)

Banach Center Publications

We consider biorthogonal systems of functions on the interval [0,1] or 𝕋 which have the same dyadic scaled estimates as wavelets. We present properties and examples of these systems.

The weak distance between Banach spaces with a symmetric basis.

Joram Lindenstrauss, Andrzej Szankowski (1987)

Journal für die reine und angewandte Mathematik

Three-space problems and bounded approximation properties

Wolfgang Lusky (2003)

Studia Mathematica

Let ${R ₙ}_{n = 1}^{\infty}$ be a commuting approximating sequence of the Banach space X leaving the closed subspace A ⊂ X invariant. Then we prove three-space results of the following kind: If the operators Rₙ induce basis projections on X/A, and X or A is an $ℒ_{p}$ -space, then both X and A have bases. We apply these results to show that the spaces $C_{Λ} = \bar{s p a n} z^{k} : k \in Λ \subset C ()$ and $L_{Λ} = \bar{s p a n} z^{k} : k \in Λ \subset L ₁ ()$ have bases whenever Λ ⊂ ℤ and ℤ∖Λ is a Sidon set.

Total Bounded Extensions of Biorthogonal Sequences in Banach Spaces.

D. van Dulst (1974)

Mathematische Annalen

Translation invariant projections in Sobolev spaces on tori in the L¹ and uniform norms

M. Wojciechowski (1991)

Studia Mathematica

The idempotent multipliers on Sobolev spaces on the torus in the L¹ and uniform norms are characterized in terms of the coset ring of the dual group of the torus. This result is deduced from a more general theorem concerning certain translation invariant subspaces of vector-valued function spaces on tori.

Two geometric constants for operators acting on a separable Banach space.

E. Martín Peinador, E. Induráin, A. Plans Sanz de Bremond, A. A. Rodes Usan (1988)

Revista Matemática de la Universidad Complutense de Madrid

The main result of this paper is the following: A separable Banach space X is reflexive if and only if the infimum of the Gelfand numbers of any bounded linear operator defined on X can be computed by means of just one sequence on nested, closed, finite codimensional subspaces with null intersection.

Displaying 21 – 29 of 29

The wavelet type systems

The weak distance between Banach spaces with a symmetric basis.

Three-space problems and bounded approximation properties

Total Bounded Extensions of Biorthogonal Sequences in Banach Spaces.

Translation invariant projections in Sobolev spaces on tori in the L¹ and uniform norms

Two geometric constants for operators acting on a separable Banach space.

Two remarks on the Khintchine-Kahane inequality

Two-norm spaces and decompositions of Banach spaces, I

Type et cotype dans les espaces munis de structures locales inconditionnelles

Currently displaying 21 – 29 of 29