n-Convex Functions in Linear Spaces.
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 conditions for normal solvability in duals of LF-spaces.
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...
New applications of Pták's extension theorem to weak compactness
New characterizations of asymptotic stability for evolution families on Banach spaces.
Non interpolation in Morrey-Campanato and block spaces
Non Self-Determining Faces - An Example.
Non-archimedean Eberlein-Šmulian theory.
Non-archimedean nuclearity
Non-Archimedean sequential spaces and the finest locally convex topology with the same compactoid sets.
Non-continuous linear functionals on topological vector spaces.
Noninclusion theorems for summability matrices.
Nonlinear Eigenvalue Problems with Monotonically Compact Operators. (Short Communication).
Nonlinear eigenvalue problems with monotonically compact operators.
Nonlinear metric projections in twisted twilight.
Nonlinear operators of integral type in some function spaces.
We give results about embeddings, approximation and convergence theorems for a class of general nonlinear operators of integral type in abstract modular function spaces. Thus we extend some previous result on the matter.
Nonlinear variational inequalities and the existence of equilibrium in economies with a Riesz space of commodities
Non-natural topologies on spaces of holomorphic functions
It is shown that every proper Fréchet space with weak*-separable dual admits uncountably many inequivalent Fréchet topologies. This applies, in particular, to spaces of holomorphic functions, solving in the negative a problem of Jarnicki and Pflug. For this case an example with a short self-contained proof is added.