Extension procedures for lattice Lipschitz operators on Euclidean spaces

R Arnau, JM Calabuig, E Erdoğan… - Revista de la Real …, 2023 - Springer
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 …

Approximate diagonal integral representations and eigenmeasures for Lipschitz operators on Banach spaces

E Erdoğan, EA Sánchez Pérez - Mathematics, 2022 - mdpi.com
A new stochastic approach for the approximation of (nonlinear) Lipschitz operators in
normed spaces by their eigenvectors is shown. Different ways of providing integral …

Schmidt representation of bilinear operators on Hilbert spaces

EB da Silva, DL Fernandez… - Indagationes …, 2022 - Elsevier
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 …

Approximation of almost diagonal non-linear maps by lattice Lipschitz operators

R Arnau, JM Calabuig, E Erdoğan… - Bulletin of the Brazilian …, 2024 - Springer
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 …

Extension procedures for lattice Lipschitz operators on Euclidean spaces

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 …

[PDF][PDF] EXTENSION PROCEDURES FOR LATTICE LIPSCHITZ MAPPINGS

R ARNAU, JM CALABUIG, E ERDOGAN, EAS PÉREZ - blogs.mat.ucm.es
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 …