Measures of noncompactness of interpolated polynomials
-
Mieczysław Mastyło
and
Eduardo Brandani da Silva
Abstract
We study interpolation of the measure of noncompactness of homogeneous polynomials on Banach spaces. We prove that, for a large class of interpolation functors, preserving interpolation of measures of noncompactness of interpolated linear operators between Banach couples can be lifted to polynomials. As an application, we show that the measure of noncompactness of polynomials behaves well under the real method of interpolation.
Funding source: Narodowe Centrum Nauki
Award Identifier / Grant number: 2019/33/B/ST1/00165
Funding statement: The first author was supported by the National Science Center, Poland, through grant number 2019/33/B/ST1/00165.
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Articles in the same Issue
- Frontmatter
- On the asymptotics of the shifted sums of Hecke eigenvalue squares
- On the splitting conjecture in the hybrid model for the Riemann zeta function
- Almost Dedekind domains without radical factorization
- Groups in which the centralizer of any non-central primary element is maximal
- GKM actions on cohomogeneity one manifolds
- Gruenberg–Kegel graphs: Cut groups, rational groups and the prime graph question
- Sobolev regularity for nonlinear Poisson equations with Neumann boundary conditions on Riemannian manifolds
- Higher differentiability for bounded solutions to a class of obstacle problems with (p,q)-growth
- Measures of noncompactness of interpolated polynomials
- The homotopy category of acyclic complexes of pure-projective modules
- The Gelfand–Kirillov dimension of Hecke–Kiselman algebras
- Sharp Li–Yau inequalities for Dunkl harmonic oscillators
- A Shimura–Shintani correspondence for rigid analytic cocycles of higher weight
- Free polynilpotent groups and the Magnus property
