Characterization of unbounded spectral operators with spectrum in a half-line.
Characterization of unitary processes with independent and stationary increments
This is a continuation of the earlier work (Publ. Res. Inst. Math. Sci.45 (2009) 745–785) to characterize unitary stationary independent increment gaussian processes. The earlier assumption of uniform continuity is replaced by weak continuity and with technical assumptions on the domain of the generator, unitary equivalence of the process to the solution of an appropriate Hudson–Parthasarathy equation is proved.
Characterization of weak type by the entropy distribution of r-nuclear operators
The dual of a Banach space X is of weak type p if and only if the entropy numbers of an r-nuclear operator with values in a Banach space of weak type q belong to the Lorentz sequence space with 1/s + 1/p + 1/q = 1 + 1/r (0 < r < 1, 1 ≤ p, q ≤ 2). It is enough to test this for Y = X*. This extends results of Carl, König and Kühn.
Characterization, spectral invariance and the Fredholm property of multi-quasi-elliptic operators.
Characterizations of Almost Periodic Strongly Continuous Groupsand Semigroups.
Characterizations of chaotic order via generalized Furuta inequality.
Characterizations of fixed points of nonexpansive mappings.
Characterizations of generalized monotone nonsmooth continuous maps using approximate Jacobians.
Characterizations of Jordan derivations on triangular rings: additive maps Jordan derivable at idempotents.
Characterizations of nonnegative selfadjoint extensions.
Characterizations of seminorms given by continuous linear functionals on normed linear spaces and applications to Gel'fand measures.
Characterizations of subnormal operators
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.