diamètre de classes d’espaces de Sobolev sur associés à des opérateurs de type «Schrödinger»
Kadec Norms on Spaces of Continuous Functions
2000 Mathematics Subject Classification: Primary: 46B03, 46B26. Secondary: 46E15, 54C35.We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K). We show in particular that such a renorming exists when K is any product of compact linearly ordered spaces, extending the result for a single factor due to Haydon, Jayne, Namioka and Rogers. We show that if C(K1) has a pointwise Kadec renorming and K2 belongs to the class of spaces obtained by closing the class of compact...
Kergin interpolation in Banach spaces
We study the Kergin operator on the space of nuclearly entire functions of bounded type on a Banach space E. We show that the Kergin operator is a projector with interpolating properties and that it preserves homogeneous solutions to homogeneous differential operators. Further, we show that the Kergin operator is uniquely determined by these properties. We give error estimates for approximating a function by its Kergin polynomial and show in this way that for any given bounded sequence of interpolation...
Kernel-Type Compactness Criteria in LEp Spaces.
Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces
We study the class of all rearrangement-invariant ( = r.i.) function spaces E on [0,1] such that there exists 0 < q < 1 for which , where is an arbitrary sequence of independent identically distributed symmetric random variables on [0,1] and C > 0 does not depend on n. We completely characterize all Lorentz spaces having this property and complement classical results of Rodin and Semenov for Orlicz spaces , p ≥ 1. We further apply our results to the study of Banach-Saks index sets in...
Klassische und schwache Lösungen des Dirichletproblems für lineare elliptische Gleichungen höherer Ordnung in Gebieten mit konischen Ecken.
K-monotone Spaces between Spaces of Absolutely Summable Series.
Kolmogorov-Smirnov isometries and affine automorphisms of spaces of distribution functions
In this paper we describe the structure of surjective isometries of the spaces of all absolutely continuous, singular, or discrete probability distribution functions on R equipped with the Kolmogorov-Smirnov metric. We also study the structure of affine automorphisms of the space of all distribution functions.
Korovkin Approximation in C0(X).
Korovkinhüllen in Funktionenräumen.
Köthe spaces modeled on spaces of functions
The isomorphic classification problem for the Köthe models of some function spaces is considered. By making use of some interpolative neighborhoods which are related to the linear topological invariant and other invariants related to the “quantity” characteristics of the space, a necessary condition for the isomorphism of two such spaces is proved. As applications, it is shown that some pairs of spaces which have the same interpolation property are not isomorphic.