A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in normed spaces by their eigenvectors is shown. Different ways of providing integral …
Current work defines Schmidt representation of a bilinear operator T: H 1× H 2→ K, where H 1, H 2 and K are separable Hilbert spaces. Introducing the concept of singular value and …
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 …
AR Arnau-Notari, JM Calabuig, E Erdogan… - Revista de la Real …, 2023 - riunet.upv.es
[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 …
We present McShane and Whitney extension formulas for a new class of Lipschitz operators on Banach lattices, that we call lattice Lipschitz maps. Using them, and based on the …