Das Eigenwerttheorem von Krasnoselski für -kondensierende Abbildungen
Das modifizierte Newton-Verfahren in verallgemeinerten Banach-Räumen.
Data dependence for Ishikawa iteration when dealing with contractive-like operators.
Data dependence for some integral equation via weakly Picard operators.
Decomposable hulls of multifunctions
Let F be a multifunction with values in Lₚ(Ω, X). In this note, we study which regularity properties of F are preserved when we consider the decomposable hull of F.
Decomposition conditions for two-point boundary value problems.
Decomposition of smooth functions of two multidimensional variables
Degré et théorèmes de point fixe pour les fonctions multivoques ; applications
Degree of convergence of iterative algorithms for boundedly Lipschitzian strong pseudocontractions.
Degree of T-equivariant maps in ℝⁿ
A special case of G-equivariant degree is defined, where G = ℤ₂, and the action is determined by an involution given by T(u,v) = (u,-v). The presented construction is self-contained. It is also shown that two T-equivariant gradient maps are T-homotopic iff they are gradient T-homotopic. This is an equivariant generalization of the result due to Parusiński.
Degree theory for VMO maps on metric spaces
We construct a degree theory for Vanishing Mean Oscillation functions in metric spaces, following some ideas of Brezis & Nirenberg. The underlying sets of our metric spaces are bounded open subsets of and their boundaries. Then, we apply our results in order to analyze the surjectivity properties of the -harmonic extensions of VMO vector-valued functions. The operators we are dealing with are second order linear differential operators sum of squares of vector fields satisfying the hypoellipticity...
Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces.
Denseness of norm attaining mappings.
The Bishop-Phelps Theorem states that the set of (bounded and linear) functionals on a Banach space that attain their norms is dense in the dual. In the complex case, Lomonosov proved that there may be a closed, convex and bounded subset C of a Banach space such that the set of functionals whose maximum modulus is attained on C is not dense in the dual. This paper contains a survey of versions for operators, multilinear forms and polynomials of the Bishop-Phelps Theorem. Lindenstrauss provided examples...
Der Fixpunktsatz in Funktionalraümen
Der „Satz von der gleichmässigen Beschranktheit‟ für eine Klasse nichtlinearer Operatoren
Diagonals of projective tensor products and orthogonally additive polynomials
Let E be a Banach space with 1-unconditional basis. Denote by (resp. ) the main diagonal space of the n-fold full (resp. symmetric) projective Banach space tensor product, and denote by (resp. ) the main diagonal space of the n-fold full (resp. symmetric) projective Banach lattice tensor product. We show that these four main diagonal spaces are pairwise isometrically isomorphic, and in addition, that they are isometrically lattice isomorphic to , the completion of the n-concavification of...
Diametrically contractive maps and fixed points.
Diametrically contractive multivalued mappings.
Different spectra for nonlinear operators.
Differentiability of a convex semigroup on IRm.