Interchangeability of unbounded operators: special criteria of transmutativity
Interior compact subspaces and differentiation in model subspaces.
Interior proximal method for variational inequalities on non-polyhedral sets
Interior proximal methods for variational inequalities are, in fact, designed to handle problems on polyhedral convex sets or balls, only. Using a slightly modified concept of Bregman functions, we suggest an interior proximal method for solving variational inequalities (with maximal monotone operators) on convex, in general non-polyhedral sets, including in particular the case in which the set is described by a system of linear as well as strictly convex constraints. The convergence analysis of...
Internal Lifshitz tails for discrete Schrödinger operators.
Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry.
We introduce and study a notion of Orlicz hypercontractive semigroups. We analyze their relations with general F-Sobolev inequalities, thus extending Gross hypercontractivity theory. We provide criteria for these Sobolev type inequalities and for related properties. In particular, we implement in the context of probability measures the ideas of Maz'ja's capacity theory, and present equivalent forms relating the capacity of sets to their measure. Orlicz hypercontractivity efficiently describes the...
Interpolation and extension of Lipschitz-Hölder maps on spaces
Interpolation by elementary operators
Given two n-tuples and of bounded linear operators on a Hilbert space the question of when there exists an elementary operator E such that for all j =1,...,n, is studied. The analogous question for left multiplications (instead of elementary operators) is answered in any C*-algebra A, as a consequence of the characterization of closed left A-submodules in .
Interpolation by multipliers on certain spaces of analytic functions.
Interpolation for (positive) C0-semigroups on Lp-spaces.
Interpolation functions of several matrix variables.
Interpolation in with boundary conditions
Interpolation linéaire associée à un générateur de semi-groupe intégré
Interpolation methods to estimate eigenvalue distribution of some integral operators.
Interpolation of Operator Ideals with an Application to Eigenvalue Distribution Problems.
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 semigroups and integrated semigroups.
Interpolation of Spectral Operators.
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...
Interpolation of the measure of non-compactness between quasi-Banach spaces.
We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.
Interpolation of the measure of non-compactness by the real method
We investigate the behaviour of the measure of non-compactness of an operator under real interpolation. Our results refer to general Banach couples. An application to the essential spectral radius of interpolated operators is also given.