Interpolation of compact nonlinear operators.
Interpolation of compact operators by Goulaouic procedure
Interpolation of function spaces and the convergence rate estimates for the finite difference method.
Interpolation of locally Hölder operators
Interpolation of Marcinkiewicz spaces.
Interpolation of multipliers of
Interpolation of nonlinear operators between families of Banach spaces.
Interpolation of operations and Orlicz classes
Interpolation of Operator Ideals with an Application to Eigenvalue Distribution Problems.
Interpolation of operators of weak type .
Interpolation of Operators on Decreasing Functions.
Interpolation of operators when the extreme spaces are
Under some assumptions on the pair , we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are . Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.
Interpolation of Orlicz spaces
Interpolation of Orlicz-valued function spaces and U.M.D. property
Interpolation of quasicontinuous functions
If C is a capacity on a measurable space, we prove that the restriction of the K-functional to quasicontinuous functions f ∈ QC is equivalent to . We apply this result to identify the interpolation space .
Interpolation of r-Banach spaces
Interpolation of real method spaces via some ideals of operators
Certain operator ideals are used to study interpolation of operators between spaces generated by the real method. Using orbital equivalence a new reiteration formula is proved for certain real interpolation spaces generated by ordered pairs of Banach lattices of the form . As an application we extend Ovchinnikov’s interpolation theorem from the context of classical Lions-Peetre spaces to a larger class of real interpolation spaces. A description of certain abstract J-method spaces is also presented....
Interpolation of Spectral Operators.
Interpolation of sublinear operators on generalized Orlicz and Hardy-Orlicz spaces
Interpolation of the essential spectrum and the essential norm
The behavior of the essential spectrum and the essential norm under (complex/real) interpolation is investigated. We extend an example of Albrecht and Müller for the spectrum by showing that in complex interpolation the essential spectrum of an interpolated operator is also in general a discontinuous map of the parameter θ. We discuss the logarithmic convexity (up to a multiplicative constant) of the essential norm under real interpolation, and show that this holds provided certain compact approximation...