-continuity of the Fröbenius-Perron semigroup.
-Scalar operators on cyclic spaces
Cauchy Problems for Polynomial Operator Matrices on Abstract Energy Spaces.
Cesaro asymptotic equipartition of energy in the coupled case.
Characterization of some interpolation spaces (I)
Si calcolano alcuni spazi di interpolazione fra spazi di funzioni hölderiane.
Characterization of the generators of semigroups which leave a convex set invariant
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.
Characterizations of Almost Periodic Strongly Continuous Groupsand Semigroups.
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...
Classes d'interpolation associées à un opérateur maximal monotone
Classical solutions of parabolic equations in Hölder spaces
Sono dati nuovi teoremi di esistenza per soluzioni regolari di equazioni di evoluzione paraboliche astratte con applicazioni all'equazione del calore in spazi di funzioni holderiane e alle equazioni semilineari.
Closed operators affiliated with a Banach algebra of operators
Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. If S is a closed operator in X such that (λ - S)^{-1} ∈ ℬ for some number λ, then S is affiliated with ℬ. The object of this paper is to study the spectral theory and Fredholm theory relative to ℬ of an operator which is affiliated with ℬ. Also, applications are given to semigroups of operators which are contained in ℬ.
Commutants of unbounded derivations in C*-algebras.
Commutators and generators.
Commuting groups and the Fuglede-Putnam theorem
Compact Abelian Groups of Automorphisms of Simple C*-Algebras
Compactification and linearization of abstract dynamical systems
Comportement asymptotique des solutions des équations de type Schrödinger dans
Concave iteration semigroups of linear continuous set-valued functions
Let F t: t ≥ 0 be a concave iteration semigroup of linear continuous set-valued functions defined on a convex cone K with nonempty interior in a Banach space X with values in cc(K). If we assume that the Hukuhara differences F 0(x) − F t (x) exist for x ∈ K and t > 0, then D t F t (x) = (−1)F t ((−1)G(x)) for x ∈ K and t ≥ 0, where D t F t (x) denotes the derivative of F t (x) with respect to t and for x ∈ K.
Concave iteration semigroups of linear set-valued functions
We consider a concave iteration semigroup of linear continuous set-valued functions defined on a closed convex cone in a separable Banach space. We prove that such an iteration semigroup has a selection which is also an iteration semigroup of linear continuous functions. Moreover it is majorized by an "exponential" family of linear continuous set-valued functions.