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Existence and uniqueness of solution to several kinds of differential equations using the coincidence theory
(Mathematical Society of the Republic of China, 2015)
The purpose of this article is to study the existence of a coincidence point for two mappings defined on a nonempty set and taking values on a Banach space using the fixed point theory for nonexpansive mappings. Moreover, ...
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A note on interface dynamics for convection in porous media
(Elsevier, 2008-07-15)
We study the fluid interface problem through porous media given by two incompressible 2-D fluids of different densities. This problem is mathematically analogous to the dynamics interface for convection in porous media, ...
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Two results on composition operators on the Dirichlet space
(Elsevier, 2015-06-15)
We show that the decay of approximation numbers of compact composition operators on the Dirichlet space D can be as slow as we wish. We also prove the optimality of a result of O. El-Fallah, K. Kellay, M. Shabankhah ...
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A sum operator with applications to self-improving properties of Poincaré inequalities in metric spaces
(Springer, 2003-09)
We define a class of summation operators with applications to the self-improving nature of Poincaré-Sobolev estimates, in fairly general quasimetric spaces of homogeneous type. We show that these sum operators play the ...
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Spectral properties of certain tridiagonal matrices
(Elsevier, 2012-02-01)
We study spectral properties of irreducible tridiagonal k−Toeplitz matrices and certain matrices which arise as perturbations of them.
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Grothendieck locally convex spaces of continuous vector valued functions
(Mathematical Sciences Publishers, 1985-12-01)
Let ^{X, E) be the space of continuous functions from the completely regular Hausdorff space X into the Hausdorff locally convex space E, endowed with the compact-open topology. Our aim is to characterize the ^(X, E) spaces ...
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Complejidad de los números naturales
(Real Sociedad Matemática Española, 2000)
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Volume inequalities for the i-th-convolution bodies
(Elsevier, 2015-04-01)
We obtain a new extension of Rogers-Sephard inequality providing an upper bound for the volume of the sum of two convex bodies K and L. We also give lower bounds for the volume of the k-th limiting convolution body of two ...
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Asymptotics of Keiper-Li coefficients
(Adam Mickiewicz University, Faculty of Mathematics and Computer Science, 2011)
We show that the Riemann Hypothesis is equivalent to the assertion (ym)∈ℓ2 where ymym is defined by λm=1/2(logm+γ−log(2π)−1)+ym, and mλm represents the numbers in Xian-Jin Li's criterion. This confirms and further sharpens ...
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Infinite dimensional holomorphic non-extendability and algebraic genericity
(Elsevier, 2017-01-15)
In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed. More particularly, we ...