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Five Basic Lemmas for Symmetric Tensor Products of Normed Spaces
(Unión Matemática Argentina, 2011-12)
We give the symmetric version of five lemmas which are essential for the theory of tensor products (and norms). These are: the approximation, extension, embedding, density and local technique lemma. Some applications of ...
On the polynomial lindenstrauss theorem
(Academic Press Inc Elsevier Science, 2012-10)
Under certain hypotheses on the Banach space X, we show that the set of N-homogeneous polynomials from X to any dual space, whose Aron-Berner extensions are norm attaining, is dense in the space of all continuous N-homogeneous ...
On the problem of optimal reconstruction
(Birkhauser Boston IncCambridgeEUA, 2007)
On homogeneous polynomial solutions of generalized Moisil-Théodoresco systems in Euclidean space
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Extension of polynomials and John's theorem for symmetric tensor products.
(American Mathematical Society, 2007-12)
We show that for every infinite-dimensional normed space E and every k ≥ 3 there are extendible k-homogeneous polynomials which are not integral. As a consequence, we prove a symmetric version of a result of John.
The symmetric tensor product of a direct sum of locally convex spaces
(Polish Acad Sciences Inst MathematicsWarsawPolónia, 1998)
Monomial convergence on ℓr
(Mathematical Science Publishers, 2021-05-18)
We develop a novel decomposition of the monomials in order to study the set of monomial convergence for spaces of holomorphic functions over er for 1 < r < 2. For Hb(er), the space of entire functions of bounded type in ...
Nilpotent Global Centers of Linear Systems with Cubic Homogeneous NonlinearitiesCentros Globales Nilpotentes de Sistemas Lineales con No-linealidades Homogéneneas Cúbicas
(International Journal of Bifurcation and Chaos, 2020)
Nilpotent Global Centers of Linear Systems with Cubic Homogeneous NonlinearitiesCentros Globales Nilpotentes de Sistemas Lineales con No-linealidades Homogéneneas Cúbicas
(International Journal of Bifurcation and Chaos, 2020)