Further remarks on the Nemitskii operator in Hölder spaces
The paper is concerned with the Nemitskii operator in Hölder spaces. Namely conditions are given to ensure acting, continuity, Lipschitz and differentiability properties.
Fuzzy distances
In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to are dealt with in detail.
Fuzzy solutions for boundary value problems with integral boundary conditions.
Gabor Time-Frequency Lattices and the Wexler-Raz Identity.
Gain of regularity for a Korteweg-de Vries--Kawahara type equation.
Galerkin Method and Optimal Error Algorithms in Hilbert Spaces.
Galerkin method operator differential equations with Lipschitz continuous coefficients
Galerkins Lösungsnäherungen bei monotonen Abbildungen.
Gantmacher–Kreĭn theorem for 2 nonnegative operators in spaces of functions.
Gap and perturbation of non-semi-Fredholm operators.
Garding's inequality for elliptic differential operator with infinite number of variables.
Gâteaux derivative and orthogonality in -classes.
Gâteaux derivative and orthogonality in -classes.
Gaussian estimates for Schrödinger perturbations
We propose a new general method of estimating Schrödinger perturbations of transition densities using an auxiliary transition density as a majorant of the perturbation series. We present applications to Gaussian bounds by proving an optimal inequality involving four Gaussian kernels, which we call the 4G Theorem. The applications come with honest control of constants in estimates of Schrödinger perturbations of Gaussian-type heat kernels and also allow for specific non-Kato perturbations.
GB*-Algebras associated with inductive limits of Hilbert spaces
G-convergence of monotone operators
Gebietsinvarianzsatz und Eigenwertaussagen für konzentrierende Abbildungen
Gelfand and Kolmogorov numbers of embedding of radial Besov and Sobolev spaces
We prove asymptotic formulas for the behavior of Gelfand and Kolmogorov numbers of Sobolev embeddings between Besov and Triebel-Lizorkin spaces of radial distributions. Our method works also for Weyl numbers.
Gelfand numbers and metric entropy of convex hulls in Hilbert spaces
For a precompact subset K of a Hilbert space we prove the following inequalities: , n ∈ ℕ, and , k,n ∈ ℕ, where cₙ(cov(K)) is the nth Gelfand number of the absolutely convex hull of K and and denote the kth entropy and kth dyadic entropy number of K, respectively. The inequalities are, essentially, a reformulation of the corresponding inequalities given in [CKP] which yield asymptotically optimal estimates of the Gelfand numbers cₙ(cov(K)) provided that the entropy numbers εₙ(K) are slowly...
Gelfand numbers of operators with values in a Hilbert space.