Matrixtransformationen von unvollstl;ndigen Folgenräumen.
Measure of noncompactness of linear operators between spaces of sequences that are summable or bounded
In this paper we investigate linear operators between arbitrary BK spaces and spaces of sequences that are summable or bounded. We give necessary and sufficient conditions for infinite matrices to map into . Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for to be a compact operator.
Measure of noncompactness of subsets of Lebesgue spaces
Measures of noncompactness in Banach sequence spaces
Mixed Norm Spaces of Difference Sequences and Matrix Transformations
Multilinear forms in Pareto-like random variables and product random measures
Multilinear Hölder-type inequalities on Lorentz sequence spaces
We establish Hölder-type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals.
Multipliers of mixed-norm sequence spaces and measures of noncompactness.
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.
Negative results on the Nash-Moser theorem for Köthe sequences spaces and for spaces of ultradifferentiable functions.
Nevanlinna algebras
The Nevanlinna algebras, , of this paper are the variants of classical weighted area Nevanlinna classes of analytic functions on = z ∈ ℂ: |z| < 1. They are F-algebras, neither locally bounded nor locally convex, with a rich duality structure. For s = (α+2)/p, the algebra of analytic functions f: → ℂ such that as |z| → 1 is the Fréchet envelope of . The corresponding algebra of analytic f: → ℂ such that is a complete metric space but fails to be a topological vector space. is also...
Noninclusion theorems for summability matrices.
Non-Schwartzian Power Series Spaces.
Nonseparable "James tree" analogues of the continuous functions on the Cantor set
Nontrivial isometries on alpha).
Norm and lower bounds of operators on weighted sequence spaces
Norm attaining multilinear forms and polynomials on preduals of Lorentz sequence spaces
For each natural number N, we give an example of a Banach space X such that the set of norm attaining N-linear forms is dense in the space of all continuous N-linear forms on X, but there are continuous (N+1)-linear forms on X which cannot be approximated by norm attaining (N+1)-linear forms. Actually,X is the canonical predual of a suitable Lorentz sequence space. We also get the analogous result for homogeneous polynomials.
Normal structure of Musielak-Orlicz spaces.
Normalized bases in topological vector spaces
Normed barrelled spaces
In this paper we present a general “gliding hump” condition that implies the barrelledness of a normed vector space. Several examples of subspaces of are shown to be barrelled using the theorem. The barrelledness of the space of Pettis integrable functions is also implied by the theorem (this was first shown in [3]).