Characterizations of the ranges of some nonlinear operators and applications to boundary value problems
Characterizations of the Solution Sets of Generalized Convex Minimization Problems
2000 Mathematics Subject Classification: 90C26, 90C20, 49J52, 47H05, 47J20.In this paper we obtain some simple characterizations of the solution sets of a pseudoconvex program and a variational inequality. Similar characterizations of the solution set of a quasiconvex quadratic program are derived. Applications of these characterizations are given.
Characterizations of tracial property via inequalities.
Characterizations of weakly compact sets and new fixed point free maps in c₀
We give a basic sequence characterization of relative weak compactness in c₀ and we construct new examples of closed, bounded, convex subsets of c₀ failing the fixed point property for nonexpansive self-maps. Combining these results, we derive the following characterization of weak compactness for closed, bounded, convex subsets C of c₀: such a C is weakly compact if and only if all of its closed, convex, nonempty subsets have the fixed point property for nonexpansive mappings.
Characterizing Fréchet-Schwartz spaces via power bounded operators
We characterize Köthe echelon spaces (and, more generally, those Fréchet spaces with an unconditional basis) which are Schwartz, in terms of the convergence of the Cesàro means of power bounded operators defined on them. This complements similar known characterizations of reflexive and of Fréchet-Montel spaces with a basis. Every strongly convergent sequence of continuous linear operators on a Fréchet-Schwartz space does so in a special way. We single out this type of "rapid convergence" for a sequence...
Characterizing spectra of closed operators through existence of slowly growing solutions of their Cauchy problems
Let A be a closed linear operator in a Banach space E. In the study of the nth-order abstract Cauchy problem , t ∈ ℝ, one is led to considering the linear Volterra equation (AVE) , t ∈ ℝ, where and p(·) is a vector-valued polynomial of the form for some elements . We describe the spectral properties of the operator A through the existence of slowly growing solutions of the (AVE). The main tool is the notion of Carleman spectrum of a vector-valued function. Moreover, an extension of a theorem...
Characters of finitely generated C*-algebras
Charakerisierung ?kompakter" hermitescher Operatoren.
Charakterisierungen zeilenendlicher Matrizen mit abzählbarem Spektrum.
Charge transfer scatteringin a constant electric field
We prove the asymptotic completeness of the quantum scattering for a Stark Hamiltonian with a time dependent interaction potential, created by N classical particles moving in a constant electric field.
Cheeger inequalities for unbounded graph Laplacians
We use the concept of intrinsic metrics to give a new definition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate for the bottom of the spectrum which is nontrivial even if the vertex degrees are unbounded.
Circular operators related to some quantum observables
Circular operators related to the operator of multiplication by a homomorphism of a locally compact abelian group and its restrictions are completely characterized. As particular cases descriptions of circular operators related to various quantum observables are given.
Ćirić's fixed point theorem in a cone metric space.
C.L. Siegel's Linearization Theorem in Infinite Dimensions.
Clarkson--McCarthy interpolated inequalities in Finsler norms.
Classes de Schatten d'opérateurs pseudo-différentiels
Classes de Schatten d'opérateurs pseudo-différentiels
Classes d'interpolation associées à un opérateur maximal monotone
Classes d'opérateurs à puissances nucléaires
Classes of distribution semigroups
We introduce various classes of distribution semigroups distinguished by their behavior at the origin. We relate them to quasi-distribution semigroups and integrated semigroups. A class of such semigroups, called strong distribution semigroups, is characterized through the value at the origin in the sense of Łojasiewicz. It contains smooth distribution semigroups as a subclass. Moreover, the analysis of the behavior at the origin involves intrinsic structural results for semigroups. To this purpose,...