On -accretive Schrödinger-type operators with singular potentials on manifolds of bounded geometry.
On -sectorial Schrödinger-type operators with singular potentials on manifolds of bounded geometry
We consider a Schrödinger-type differential expression , where is a -bounded Hermitian connection on a Hermitian vector bundle of bounded geometry over a manifold of bounded geometry with metric and positive -bounded measure , and is a locally integrable section of the bundle of endomorphisms of . We give a sufficient condition for -sectoriality of a realization of in . In the proof we use generalized Kato’s inequality as well as a result on the positivity of satisfying the...
On Markovian cocycle perturbations in classical and quantum probability.
On matrices having an invariant cone
On matrix transformations concerning the Nakano vector-valued sequence space.
On Mawhin's continuation principles.
On maximal compact subsemigroups of the endomorphism semigroup of an n-dimensional complex vector space.
On maximal monotone operators with relatively compact range
It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator can be approximated by a sequence of maximal monotone operators of type NI, which converge to in a reasonable sense (in the sense of Kuratowski-Painleve convergence).
On measures of noncompactness in Banach spaces
On measures of noncompactness in general topological vector spaces
On measures of noncompactness in topological vector spaces
On mesh independence and Newton-type methods
Mesh-independent convergence of Newton-type methods for the solution of nonlinear partial differential equations is discussed. First, under certain local smoothness assumptions, it is shown that by properly relating the mesh parameters and for a coarse and a fine discretization mesh, it suffices to compute the solution of the nonlinear equation on the coarse mesh and subsequently correct it once using the linearized (Newton) equation on the fine mesh. In this way the iteration error will be...
On M-hyponormal operators
On M-ideals in B(.
On Mikusinski's perators of fractional integration
On Milman's moduli for Banach spaces.
On Minimizing ||S−(AX−XB)||Pp
In this paper, we minimize the map Fp (X)= ||S−(AX−XB)||Pp , where the pair (A, B) has the property (F P )Cp , S ∈ Cp , X varies such that AX − XB ∈ Cp and Cp denotes the von Neumann-Schatten class.
On minimizing the norm of linear maps in -classes.
On minimizing the sum of squares of norms of differential operators under constraints
On moduli of -convexity.