Diametrically contractive multivalued mappings.
Dichotomy and functional calculi.
Die absolute Stetigkeit des positiven Spektrums der Schwingungsgleichungen mit oszillierendem Hauptteil.
Die erzeugte Algebra eines Markov-Verbandsoperators in C(X).
Die Lösung der Verzweigungsgleichungen für nichtlineare Eigenwertprobleme.
Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil II.
Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil III.
Dieudonné operators on the space of Bochner integrable functions
A bounded linear operator between Banach spaces is called a Dieudonné operator ( = weakly completely continuous operator) if it maps weakly Cauchy sequences to weakly convergent sequences. Let (Ω,Σ,μ) be a finite measure space, and let X and Y be Banach spaces. We study Dieudonné operators T: L¹(X) → Y. Let stand for the canonical injection. We show that if X is almost reflexive and T: L¹(X) → Y is a Dieudonné operator, then is a weakly compact operator. Moreover, we obtain that if T: L¹(X)...
Differences of composition operators on the space of bounded analytic functions in the polydisc.
Differences of generalized weighted composition operators between growth spaces
Let φ and ψ be analytic self-maps of 𝔻. Using the pseudo-hyperbolic distance ρ(φ,ψ), we completely characterize the boundedness and compactness of the difference of generalized weighted composition operators between growth spaces.
Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball
In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of , and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition operators....
Differences of weighted composition operators on .
Differences of weighted compostion operators.
Different spectra for nonlinear operators.
Different types of solvability conditions for differential operators.
Differentiability of a convex semigroup on IRm.
Differentiability of convex functionals and boundedness of nonlinear operators and functionals
Differentiability of perturbed semigroups and delay semigroups
Suppose that A generates a C₀-semigroup T on a Banach space X. In 1953 R. S. Phillips showed that, for each bounded operator B on X, the perturbation A+B of A generates a C₀-semigroup on X, and he considered whether certain classes of semigroups are stable under such perturbations. This study was extended in 1968 by A. Pazy who identified a condition on the resolvent of A which is sufficient for the perturbed semigroups to be immediately differentiable. However, M. Renardy showed in 1995 that immediate...
Differentiability of the g-Drazin inverse
If A(z) is a function of a real or complex variable with values in the space B(X) of all bounded linear operators on a Banach space X with each A(z)g-Drazin invertible, we study conditions under which the g-Drazin inverse is differentiable. From our results we recover a theorem due to Campbell on the differentiability of the Drazin inverse of a matrix-valued function and a result on differentiation of the Moore-Penrose inverse in Hilbert spaces.
Differentiable bundles of subspaces and operators in Banach spaces