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 continuum of path-dependent equilibrium solutions induced by sticky expectations
We analyze a simple macroeconomic model where rational inflation expectations are replaced by a boundedly rational, and genuinely sticky, response to changes in the actual inflation rate. The stickiness is introduced in a novel way using a mathematical operator that is amenable to rigorous analysis. We prove that, when exogenous noise is absent from the system, the unique equilibrium of the rational expectations model is replaced by an entire line segment of possible equilibria with the one chosen...
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.