An index theorem for systems of difference operators on a half space
An individual ergodic theorem on the Hilbert space logic
An inequality for spherical Cauchy dual tuples
Let T be a spherical 2-expansive m-tuple and let denote its spherical Cauchy dual. If is commuting then the inequality holds for every positive integer k. In case m = 1, this reveals the rather curious fact that all positive integral powers of the Cauchy dual of a 2-expansive (or concave) operator are hyponormal.
An Inequality Involving a Hermitian Operator and its Square in a Normed Space
An inexact proximal-type method for the generalized variational inequality in Banach spaces.
An infinite family of joint spectra
An infinite level atom coupled to a heat bath.
An inquiry-based method for Choquet integral-based aggregation of interface usability parameters
The concept of usability of man-machine interfaces is usually judged in terms of a number of aspects or attributes that are known to be subject to some rough correlations, and that are in many cases given different importance, depending on the context of use of the application. In consequence, the automation of judgment processes regarding the overall usability of concrete interfaces requires the design of aggregation operators that are capable of modeling approximate or ill-defined interactions...
An integral extrapolation theorem with applcations
An integral operator inequality with applications.
An integral operator representation of classical periodic pseudodifferential operators.
An integral representation of randomized probabilities and its applications
An integral theorem and its applications to coincidence theorems
An intermediate value theorem in ordered Banach spaces
We prove an intermediate value theorem for certain quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.
An interplay between the weak form of Peano's theorem and structural aspects of Banach spaces
We establish some results that concern the Cauchy-Peano problem in Banach spaces. We first prove that a Banach space contains a nontrivial separable quotient iff its dual admits a weak*-transfinite Schauder frame. We then use this to recover some previous results on quotient spaces. In particular, by applying a recent result of Hájek-Johanis, we find a new perspective for proving the failure of the weak form of Peano's theorem in general Banach spaces. Next, we study a kind of algebraic genericity...
An interpolation method to characterize domains of generators of semigroups.
An Interpolation Result for the Spectral Radius.
An interpolation theorem with -weighted spaces
An intersection theorem for set-valued mappings
Given a nonempty convex set in a locally convex Hausdorff topological vector space, a nonempty set and two set-valued mappings , we prove that under suitable conditions one can find an which is simultaneously a fixed point for and a common point for the family of values of . Applying our intersection theorem we establish a common fixed point theorem, a saddle point theorem, as well as existence results for the solutions of some equilibrium and complementarity problems.
An IntroduCtion into the Theory of Sequence Spaces and Measures of Noncompactness