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A Generalization of Modular Sequence Spaces by Cesàro Mean of Order One
(SABER-ULAVenezuela, 2011)
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 ...
On operator ideals defined by a reflexive Orlicz sequence space
(Departamento de Matematicas, Universidad Catolica del Norte, 2006-01-01)
Classical theory of tensornorms and operator ideals studies mainly those defined by means of sequence spaces lp. Considering Orlicz sequence spaces as natural generalization of lp spaces, in a previous paper [12] an Orlicz ...
A new spectral sequence for homology of posets
(Elsevier Science, 2017-02)
We develop a new method to compute the homology groups of Alexandroff topological spaces (or equivalently of partially ordered sets) by means of spectral sequences giving a complete and simple description of the corresponding ...
Geometry and analytic boundaries of Marcinkiewicz sequence spaces
(Oxford University Press, 2010-06)
We investigate the geometric structure of the unit ball of the Marcinkiewicz sequence space Graphic, giving characterizations of its real and complex extreme points and of the exposed points in terms of the symbol Ψ. Using ...
On the existence of free actions of the groups Z_2, S^1 and S^3 on some finitistic spaces and cohomology of orbit spaces
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2021-12-16)
Let G be a compact Lie group and X be a finitistic space. If G acts continuously on X, we can construct the fibration
X \hookrightarrow X_{G} \arrow & B_{G}, (1)
called Borel fibration, where G\hookrightarrow ...
Multi-orbital frames through model spaces
(Birkhauser Verlag Ag, 2021-01)
We characterize the normal operators A on ℓ2 and the elements ai∈ ℓ2, with 1 ≤ i≤ m, such that the sequence {Ana1,…,Anam}n≥0is a frame. The characterization makes strong use of the pseudo-hyperbolic metric of D and is given ...
Mappings between Banach spaces that send mixed summable sequences into absolutely summable sequences
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2004)