épaisseur dans les espaces de Sobolev avec poids
-inner product spaces and projections
This paper is a continuation of investigations of -inner product spaces given in [five, six, seven] and an extension of results given in [three] to arbitrary natural . It concerns families of projections of a given linear space onto its -dimensional subspaces and shows that between these families and -inner products there exist interesting close relations.
-type quotient modules on the torus.
Narrow operators (a survey)
Narrow operators are those operators defined on function spaces which are "small" at signs, i.e., at {-1,0,1}-valued functions. We summarize here some results and problems on them. One of the most interesting things is that if E has an unconditional basis then each operator on E is a sum of two narrow operators, while the sum of two narrow operators on L₁ is narrow. Recently this notion was generalized to vector lattices. This generalization explained the phenomena of sums: the set of all regular...
Narrow operators and rich subspaces of Banach spaces with the Daugavet property
Let X be a Banach space. We introduce a formal approach which seems to be useful in the study of those properties of operators on X which depend only on the norms of the images of elements. This approach is applied to the Daugavet equation for norms of operators; in particular we develop a general theory of narrow operators and rich subspaces of spaces X with the Daugavet property previously studied in the context of the classical spaces C(K) and L₁(μ).
Natural operations with second order jets
Natural transformations of affine connections on manifolds to metrics on cotangent bundles
Nature de l'image linéaire continue d'un espace de Banach dans un espace de Banach séparable
n-Convex Functions in Linear Spaces.
N-dimensional affine Weyl-Heisenberg wavelets
Near isometries of spaces of weak * continuous functions, with an application to Bochner spaces
Near metric properties of function spaces
"Near metric" properties of the space of continuous real-valued functions on a space X with the compact-open topology or with the topology of pointwise convergence are examined. In particular, it is investigated when these spaces are stratifiable or cometrisable.
Near smoothness of Banach spaces.
The aim of this paper is to discuss the concept of near smoothness in some Banach sequence spaces.
Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras.
Nearly smooth points and near smoothness in Orlicz spaces
Nearly smooth points and near smoothness in Orlicz spaces are characterized. It is worth to notice that in the nonatomic case smooth points and nearly smooth points are the same, but in the sequence case they differ.
Nearness relations in linear spaces
In this paper, we consider nearness-based convergence in a linear space, where the coordinatewise given nearness relations are aggregated using weighted pseudo-arithmetic and geometric means and using continuous t-norms.
Necessary and sufficient condition for compactness of the embedding operator.
Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
The problem of boundedness of the Hardy-Littewood maximal operator in local and global Morrey-type spaces is reduced to the problem of boundedness of the Hardy operator in weighted -spaces on the cone of non-negative non-increasing functions. This allows obtaining sufficient conditions for boundedness for all admissible values of the parameters. Moreover, in case of local Morrey-type spaces, for some values of the parameters, these sufficient conditions are also necessary.
Necessary and sufficient conditions for imbeddings in weighted Sobolev spaces
Necessary and sufficient conditions for the boundedness of Dunkl-type fractional maximal operator in the Dunkl-type Morrey spaces.