N Congruency of Operators
-th order ordinary differential systems under Stieltjes boundary conditions
-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).
Narrow operators on lattice-normed spaces
The aim of this article is to extend results of Maslyuchenko, Mykhaylyuk and Popov about narrow operators on vector lattices. We give a new definition of a narrow operator, where a vector lattice as the domain space of a narrow operator is replaced with a lattice-normed space. We prove that every GAM-compact (bo)-norm continuous linear operator from a Banach-Kantorovich space V to a Banach lattice Y is narrow. Then we show that, under some mild conditions, a continuous dominated operator is narrow...
Nash-Moser techniques for nonlinear boundary-value problems.
Navier-Stokes equations with potentials.
N-Body quantum systems with singular potentials
Near viability for fully nonlinear differential inclusions
We consider the nonlinear differential inclusion x′(t) ∈ Ax(t) + F(x(t)), where A is an m-dissipative operator on a separable Banach space X and F is a multi-function. We establish a viability result under Lipschitz hypothesis on F, that consists in proving the existence of solutions of the differential inclusion above, starting from a given set, which remain arbitrarily close to that set, if a tangency condition holds. To this end, we establish a kind of set-valued Gronwall’s lemma and a compactness...
Nearly equivalent operators
The properties of the bounded linear operators on a Hilbert space which satisfy the condition where is unitary, are studied in relation to those of normal, hyponormal, quasinormal and subnormal operators.
Nearstandardness on a finite set [Book]
Necessary and sufficient condition for compactness of the embedding operator.
Necessary And Sufficient Conditions For Existence Of Solutions To Equations With Noninvertible Linear Part.
Necessary and sufficient conditions for the boundedness of Dunkl-type fractional maximal operator in the Dunkl-type Morrey spaces.
Necessary and sufficient conditions for weighted Orlicz class inequalities for maximal functions and singular integrals. II.
Necessary conditions for normal solvability in duals of LF-spaces.
Necessary conditions on composition operators acting on Sobolev spaces of fractional order. The critical case 1 ... s ... n/p.
Nest space decomposition for an operator in βω
Neumann and periodic boundary-value problems for quasilinear ordinary differential equations with a nonlinearity in the derivative.