Characterization of (p,q,r)-absolutely summing operators on Hilbert space
Characterization of scalar-type spectral operators
Characterization of some interpolation spaces (I)
Si calcolano alcuni spazi di interpolazione fra spazi di funzioni hölderiane.
Characterization of some interpolation spaces (II)
Si caratterizzano alcuni spazi di interpolazione tra spazi di funzioni continue e domini di operatori ellittici del 2° ordine.
Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse
Extending previous work by Meise and Vogt, we characterize those convolution operators, defined on the space of (ω)-quasianalytic functions of Beurling type of one variable, which admit a continuous linear right inverse. Also, we characterize those (ω)-ultradifferential operators which admit a continuous linear right inverse on for each compact interval [a,b] and we show that this property is in fact weaker than the existence of a continuous linear right inverse on .
Characterization of the domain of an elliptic operator of infinitely many variables in spaces
We consider an elliptic operator associated to a Dirichlet form corresponding to a differential stochastic equation of potential form. We characterize the domain of the operator as a subspace of , where is the invariant measure of the differential stochastic equation.
Characterization of the generators of semigroups which leave a convex set invariant
Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
Solving a problem of L. Schwartz, those constant coefficient partial differential operators are characterized that admit a continuous linear right inverse on or , an open set in . For bounded with -boundary these properties are equivalent to being very hyperbolic. For they are equivalent to a Phragmen-Lindelöf condition holding on the zero variety of the polynomial .
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 commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces
We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of the Lipschitz spaces are given.
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.