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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 ...
Técnicas de extensão de operadores multilineares em espaços de BanachExtension Techniques for Multilinear Operators on Banach Spaces
(Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Matemática, 2019)
Introducción a la teoría de conos
(2016-08)
“El objetivo de esta tesis es dar una introducción a la teoría de conos, tanto en espacios vectoriales como en espacios normados, y aplicar estos a teoremas de extensión de funcionales lineales. La tesis está dividida en ...
Geometric and topological aspects of quasi-free states on self-dual algebras
(Universidad de los AndesDoctorado en Ciencias - FísicaFacultad de CienciasDepartamento de Física, 2022-01-28)
We focus on physical and mathematical results about equilibrium states of gapped and gapless Hamiltonians of lattice fermion and lattice spin systems. We use the algebraic formulation of quantum mechanics to describe and ...