[EN] A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in normed spaces by their eigenvectors is shown. Different ways of providing integral representations for these approximations are ...
Arnau-Notari, Andres Roger; Calabuig, J. M.; Erdogan, Ezgi; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2024-03)
[EN] Lattice Lipschitz operators define a new class of nonlinear Banach-lattice-valued maps that can be written as diagonal functions with respect to a certain basis. In the n-dimensional case, such a map can be represented ...
Erdogan, Ezgi; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso(Duke University Press, 2018)
[EN] We study bilinear operators acting on a product of Hilbert spaces of integrable functions¿zero-valued for couples of functions whose convolution equals zero¿that we call convolution-continuous bilinear maps. We prove ...
[EN] A new stochastic approach is presented to understand general spectral type problems for (not necessarily linear) functions between topological spaces. In order to show its potential applications, we construct the ...
Arnau-Notari, Andres Roger; Calabuig, J. M.; Erdogan, Ezgi; Sánchez Pérez, Enrique Alfonso(Springer-Verlag, 2023-04)
[EN] We present a new class of Lipschitz operators on Euclidean lattices that we call lattice Lipschitz maps, and we prove that the associated McShane and Whitney formulas provide the same extension result that holds for ...
[EN] We analyze the basic structure of certain metric models, which are constituted by an index I acting on a metric space (D, d) representing a relevant property of the elements of D. We call such a structure (D, d; I) ...
[EN] We present a constructive technique to represent classes of bilinear operators that allow a factorization through a bilinear product, providing a general version of the well-known characterization of integral bilinear ...