Nonlinear eigenvalue problems with monotonically compact operators.
Nonlinear generalizations of the Banach-Stone theorem
Nonlinear integral operators on C(S,E)
Nonlinear -Lie higher derivations of standard operator algebras
Let be an infinite-dimensional complex Hilbert space and be a standard operator algebra on which is closed under the adjoint operation. It is shown that every nonlinear -Lie higher derivation of is automatically an additive higher derivation on . Moreover, is an inner -higher derivation.
Nonlinear Lie-type derivations of von Neumann algebras and related topics
Motivated by the powerful and elegant works of Miers (1971, 1973, 1978) we mainly study nonlinear Lie-type derivations of von Neumann algebras. Let 𝓐 be a von Neumann algebra without abelian central summands of type I₁. It is shown that every nonlinear Lie n-derivation of 𝓐 has the standard form, that is, can be expressed as a sum of an additive derivation and a central-valued mapping which annihilates each (n-1)th commutator of 𝓐. Several potential research topics related to our work are also...
Nonlinear Maps between Besov and Sobolev spaces
Our main result shows that for a large class of nonlinear local mappings between Besov and Sobolev space, interpolation is an exceptional low dimensional phenomenon. This extends previous results by Kumlin [13] from the case of analytic mappings to Lipschitz and Hölder continuous maps (Corollaries 1 and 2), and which go back to ideas of the late B.E.J. Dahlberg [8].
Nonlinear maps in spaces of distributions.
Nonlinear metric projections in twisted twilight.
Nonlinear operator equations and boundary-value problems
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 perturbations of linear non-invertible boundary value problems in function spaces of type and
Nonlinear potential theory and Sobolev spaces
Nonlinear potential theory for Sobolev spaces on Carnot groups.
Non-Linear Potentials and Approximation in the Mean by Analytic Functions.
Nonlinear Rescaling Method and Self-concordant Functions
Nonlinear rescaling is a tool for solving large-scale nonlinear programming problems. The primal-dual nonlinear rescaling method was used to solve two quadratic programming problems with quadratic constraints. Based on the performance of primal-dual nonlinear rescaling method on testing problems, the conclusions about setting up the parameters are made. Next, the connection between nonlinear rescaling methods and self-concordant functions is discussed and modified logarithmic barrier function is...
Nonlinear Variational Inequalities and Maximal Monotone Mappings in Banach Spaces.
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.
Non-Newtonian fluids and function spaces
In this note we give an overview of recent results in the theory of electrorheological fluids and the theory of function spaces with variable exponents. Moreover, we present a detailed and self-contained exposition of shifted -functions that are used in the studies of generalized Newtonian fluids and problems with -structure.
Non-normal elements in Banach *-algebras
Let A be a Banach *-algebra with an identity, continuous involution, center Z and set of self-adjoint elements Σ. Let h ∈ Σ. The set of v ∈ Σ such that (h + iv)ⁿ is normal for no positive integer n is dense in Σ if and only if h ∉ Z. The case where A has no identity is also treated.