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Haar type systems and Banach functions spaces on spaces of homogeneous type
(Instituto de Matemática de Bahía Blanca, 2014-05)
In this note we prove that the Haar type systems defined on spaces of homogeneous type are unconditional bases for a wide family of Banach function spaces. Also, we give a characterization of these spaces via Haar coefficients. ...
Caracterización de espacios funcionales, incondicionalidad, democracia y equivalencia de sistemas de Haar en espacios de tipo homogéneo
(2011-03-21)
El trabajo de tesis se centra en obtener resultados sobre incondicionalidad en diversos espacios funcionales de sistemas de wavelets de tipo Haar definidos sobre espacios de tipo homogéneo, caracterización de tales espacios ...
Um estudo sobre bases de Schauder em espaços de Banach e aplicações do princípio de seleção de Bessaga-Pelczynski
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)
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 ...
Schauder bases in an abstract setting
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 2002)
By using some generalized Riemann integrals instead of ordinary sums and multiplication systems of Banach spaces instead of Banach spaces, we establish some natural generalizations of the most basic facts on Schauder bases ...