-convexity and duality for almost summing operators.
Kadec norms and Borel sets in a Banach space
We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.
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...
Kato's equality and spectral decomposititon for positive C0-Groups.
Kennzeichnende Eigenschaften bewerteter Vektorräume.
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...
K-monotone Spaces between Spaces of Absolutely Summable Series.
Kolmogorov diameters and orthogonality in non-Archimedean normed spaces.
The Kolmogorov n-diameter of a bounded set B in a non-archimedean normed space, as defined by the first author in a previous paper, is studied in terms of the norms of orthogonal subsets of B with n + 1 points.
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.
König-Witstock quasi-norms on quasi-Banach spaces.
Korovkin Approximation in C0(X).
Köthe dual of Banach sequence spaces and Grothendieck space
In this paper, we show the representation of Köthe dual of Banach sequence spaces
Kuttner's theorem for operators