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Every Banach ideal of polynomials is compatible with an operator ideal
(Springer Wien, 2012-01)
We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polynomials belongs to a ...
Extending polynomials in maximal and minimal ideals
(Kyoto Univeristy, 2010-03)
Given a homogeneous polynomial on a Banach space E belonging to some maximal or minimal polynomial ideal, we consider its iterated extension to an ultrapower of E and prove that this extension remains in the ideal and has ...
M-structures in vector-valued polynomial spaces
(Heldermann Verlag, 2012-12)
This paper is concerned with the study of M-structures in spaces of polynomials. More precisely, we discuss for E and F Banach spaces, whether the class of weakly continuous on bounded sets n-homogeneous polynomials, Pw(nE; ...
Ideal structures in vector-valued polynomial spaces
(Banach Mathematical Research Group, 2016-10)
This paper is concerned with the study of geometric structures in spaces of polynomials. More precisely, we discuss for E and F Banach spaces, whether the class of n-homogeneous polynomials, Pw(nE,F), which are weakly ...
Ideais algebricos de aplicações multilineares e polinômios homogêneosAlgebraic ideals of multilinear mappings and homogeneous polynomials
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)
Coherent Sequences of Polynomial Ideals on Banach Spaces
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 2006-08)
On Bézout inequalities for non-homogeneous polynomial ideals
(Academic Press Ltd - Elsevier Science Ltd, 2021-09)
We introduce a “workable” notion of degree for non-homogeneous polynomial ideals and formulate and prove ideal theoretic Bézout inequalities for the sum of two ideals in terms of this notion of degree and the degree of generators.
Holomorphic functions and polynomial ideals on Banach spaces
(Springer, 2010-01)
Given A a multiplicative sequence of polynomial ideals, we consider the associated algebra of holomorphic functions of bounded type, HbA(E). We prove that, under very natural conditions satisfied by many usual classes of ...
Tensor product theorems in positive characteristic
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)
Ideais injetivos e sobrejetivos de polinômios homogêneos entre espaços de BanachInjective and surjective polynomial ideals in Banach spaces
(Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Matemática, 2021)