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To what extent does the dual Banach space E′ determine the polynomials over E?
(Springer, 2000-10)
We show that under conditions of regularity, if E′ is isomorphic to F′, then the spaces of homogeneous polynomials over E and F are isomorphic. Some subspaces of polynomials more closely related to the structure of dual ...
Cluster values of analytic functions on a Banach space
(Springer, 2012-06)
We investigate uniform algebras of bounded analytic functions on the unit ball of a complex Banach space. We prove several cluster value theorems, relating cluster sets of a function to its range on the fibers of the ...
Existence of optimal subspaces in reflexive Banach spaces
(Duke University Press, 2015-02)
Given a finite set Y in a reflexive Banach space F and a family C of closed subspaces of F, we study the problem of finding a subspace W in C that best approximates the data Y in the sense that sum_{f in Y} d(f,W) = ...
Multilinear H older-type inequalities on Lorentz sequence spaces
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 2008-07)
We establish Hölder type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates ...
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)
Ultraprodutos em espaços de banach e aplicações
(Universidade Federal de Juiz de ForaBrasilICE – Instituto de Ciências ExatasMestrado Acadêmico em MatemáticaUFJF, 2016)
Ejemplo de las contracciones en C[0,1], L2(0,1) y Rn
(Universidad de La Salle. Ediciones Unisalle, 10 d)
A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACES
(Universidad Católica del Norte, Departamento de Matemáticas, 2001)
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 ...