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The symmetric Radon-Nikodým property for tensor norms
(Elsevier, 2010-09-29)
We introduce the symmetric-Radon-Nikodým property (sRN pr operty) for finitely generated s-tensor norms β of order n and prove a Lewis type theorem for s-tensor norms with this property. As a consequence, if β is a projective ...
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 ...
Geometry of integral polynomials, M-ideals and unique norm preserving extensions
(Elsevier Inc, 2012-03)
We use the Aron–Berner extension to prove that the set of extreme points of the unit ball of the space of integral k-homogeneous polynomials over a real Banach space X is {±φk: φ ∈ X∗, φ = 1}. With this description we ...
Unconditionality in tensor products and ideals of polynomials, multilinear forms and operators
(Oxford University Press, 2011-10)
We study tensor norms that destroy unconditionality in the following sense: for every Banach space E with unconditional basis, the n-fold tensor product of E (with the corresponding tensor norm) does not have unconditional ...
O adjunto de um polinômio homogêneo contínuo entre espaços de BanachThe adjoint of a continuous homogeneous polynomial on Banach spaces
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)
Cyclic homology, tight crossed products, and small stabilizations
(European Mathematical Society, 2014-12)
In [1] we associated an algebra 1.A/ to every bornological algebra A and an ideal IS.A/ C 1.A/ to every symmetric ideal S C `1. We showed that IS.A/ has K-theoretical properties which are similar to those of the usual ...