Total Bounded Extensions of Biorthogonal Sequences in Banach Spaces.
Translation invariant projections in Sobolev spaces on tori in the L¹ and uniform norms
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.
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.
Two remarks on the Khintchine-Kahane inequality
Two-norm spaces and decompositions of Banach spaces, I
«Type» des espaces normés
Type et cotype dans les espaces munis de structures locales inconditionnelles
Un lemme de H. P. Rosenthal
Una caracterización de los operadores de Fredholm y semi-Fredholm.
Una nota sobre los espacios de Sobolev anisótropos vectoriales LΓp (E)*.
Unconditional and normalised bases
Unconditional bases and the Radon-Nikodym property
Unconditional biorthogonal wavelet bases in
We prove that a biorthogonal wavelet basis yields an unconditional basis in all spaces with 1 < p < ∞, provided the biorthogonal wavelet set functions satisfy weak decay conditions. The biorthogonal wavelet set is associated with an arbitrary dilation matrix in any dimension.
Unconditional decompositions and local unconditional structures in some subspaces of , 1≤p<2
Unconditionally convergent series of compact operators
Une propriété du type -stable
Unicité de certaines bases inconditionnelles
Uniformly convex norms in spaces with unconditional basis
Uniformly convex norms on Banach lattices
Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis
*Supported in part by GAˇ CR 201-98-1449 and AV 101 9003. This paper is based on a part of the author’s MSc thesis written under the supervison of Professor V. Zizler.It is shown that a Banach space X admits an equivalent uniformly Gateaux differentiable norm if it has an unconditional basis and X* admits an equivalent norm which is uniformly rotund in every direction.