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
An introduction to Rota’s universal operators: properties, old and new examples and future issues
The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been an important tool for studying such important problem. In this survey, we focus on Rota’s universal operators, pointing out their main properties and exhibiting some old and recent examples.
An invariant subspace of the Bergman space having the codimension two property.
An inverse function theorem for Frechet spaces
An inverse problem for the discrete periodic Schrödinger operator.
An inversion problem for singular integral operators on homogeneous groups
An irreducible semigroup of idempotents
We construct a semigroup of bounded idempotents with no nontrivial invariant closed subspace. This answers a question which was open for some time.
An Ishikawa-hybrid proximal point algorithm for nonlinear set-valued inclusions problem based on -accretive framework.
An isomorphic characterization of the Schmidt class