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Extendibility of bilinear forms on banach sequence spaces
(Hebrew Univ Magnes Press, 2014-03)
We study Hahn-Banach extensions of multilinear forms defined on Banach sequence spaces. We characterize c0 in terms of extension of bilinear forms, and describe the Banach sequence spaces in which every bilinear form admits ...
An indecomposable Banach space of continuous functions which has small density
(POLISH ACAD SCIENCES INST MATHEMATICS, 2009)
Using the method of forcing we construct a model for ZFC where CH does not hold and where there exists a connected compact topological space K of weight omega(1) < 2(omega) such that every operator on the Banach space of ...
Banach spaces without minimal subspaces
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
We prove three new dichotomies for Banach spaces a la W.T. Gowers` dichotomies. The three dichotomies characterise respectively the spaces having no minimal subspaces, having no subsequentially minimal basic sequences, and ...
BANACH SPACES WITHOUT MINIMAL SUBSPACES - EXAMPLES
(ANNALES INST FOURIERST MARTIN D HERES CEDEX, 2012)
We analyse several examples of separable Banach spaces, some of them new, and relate them to several dichotomies obtained in [11], by classifying them according to which side of the dichotomies they fall.
Teoremas clássicos de análise funcionalClassical theorems of functional analysis
(Universidade Federal de UberlândiaBrasilMatemática, 2021)
A Hahn-Banach Theorem for Integral Polynomials
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 1997-11)
Bases in spaces of multilinear forms over Banach spaces
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 1994-09)
A Polynomial Topology on Banach Spaces
(Universidad de San Andrés. Departamento de Matemáticas y Ciencias, 2001-03)