A commutator theorem for fractional integrals in spaces of homogeneous type.
A compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.
A Compact Operator Characterization of l1.
A complement to the Fredholm theory of elliptic systems on bounded domains.
A completely bounded characterization of operator algebras.
A Complex Characterization of the Schwartz Space D (...).
A complex Tauberian theorem and mean ergodic semigroups.
A comprehensive proof of localization for continuous Anderson models with singular random potentials
We study continuous Anderson Hamiltonians with non-degenerate single site probability distribution of bounded support, without any regularity condition on the single site probability distribution. We prove the existence of a strong form of localization at the bottom of the spectrum, which includes Anderson localization (pure point spectrum with exponentially decaying eigenfunctions) with finite multiplicity of eigenvalues, dynamical localization (no spreading of wave packets under the time evolution),...
A condition equivalent to uniform ergodicity
Let T be a linear operator on a Banach space X with for some 0 ≤ w < 1. We show that the following conditions are equivalent: (i) converges uniformly; (ii) .
A conjecture about the Dunford-Pettis property
A connection between spectral radius and trace
A Construction of Monotonically Convergent Sequences from Successive Approximations in Certain Banach Spaces.
A Construction of Stable Subharmonic Orbits in Monotone Time-periodic Dynamical Systems.
A constructive proof of the composition rule for Taylor's functional calculus
We give a new constructive proof of the composition rule for Taylor's functional calculus for commuting operators on a Banach space.
A continuation method for weakly Kannan maps.
A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
A continuation theorem for holomorphic mapping into a Hilbert space
A continuity in the weak topologies of a vector integral operator.
A contractive fixed point free mapping on a weakly compact convex set
We prove the existence of a contractive mapping on a weakly compact convex set in a Banach space that is fixed point free. This answers a long-standing open question.
A convergence analysis of Newton-like methods for singular equations using outer or generalized inverses
The Newton-Kantorovich approach and the majorant principle are used to provide new local and semilocal convergence results for Newton-like methods using outer or generalized inverses in a Banach space setting. Using the same conditions as before, we provide more precise information on the location of the solution and on the error bounds on the distances involved. Moreover since our Newton-Kantorovich-type hypothesis is weaker than before, we can cover cases where the original Newton-Kantorovich...