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Artículo
Strong Factorizations between Couples of Operators on Banach Function Spaces
(Heldermann Verlag, 2013)
Let T : X1 → Y1 and S : X2 → Y2 be two continuous linear operators between Banach function spaces related to a finite measure space. Under some lattice requirements on the spaces involved, we give characterizations by ...
Artículo
Quantum social networks
(IOP Science, 2012)
We introduce a physical approach to social networks (SNs) in which each actor is characterized by a yes–no test on a physical system. This allows us to consider SNs beyond those originated by interactions based on ...
Artículo
Complex Interpolation of Operators and Optimal Domains
(Springer, 2014)
Let X0 and X1 be two order continuous Banach function spaces on a finite measure space, (E0, E1) a Banach space interpolation pair, and T : X0 + X1 → E0 + E1 an admissible operator between the pairs (X0, X1) and (E0, ...
Artículo
A sufficient degree condition for a graph to contain all trees of size k
(Springer, 2011)
The Erdös–Sós conjecture says that a graph G on n vertices and number of edges e(G) > n(k − 1)/2 contains all trees of size k. In this paper we prove a sufficient condition for a graph to contain every tree of size k ...
Artículo
On the determining number and the metric dimension of graphs
(Combinatorics.org, 2010)
This paper initiates a study on the problem of computing the difference between the metric dimension and the determining number of graphs. We provide new proofs and results on the determining number of trees and Cartesian ...
Artículo
On D4t-Cocyclic Hadamard Matrices
(Wiley, 2016)
In this paper, we describe some necessary and sufficient conditions for a set of coboundaries to yield a cocyclic Hadamard matrix over the dihedral group D4t. Using this characterization, new classification results for ...
Artículo
Distinguishing graphs by their left and right homomorphism profiles
(Elsevier, 2011)
We introduce a new property of graphs called ‘q-state Potts unique-ness’ and relate it to chromatic and Tutte uniqueness, and also to ‘chromatic–flow uniqueness’, recently studied by Duan, Wu and Yu. We establish for ...
Artículo
Optimal domain of q-concave operators and vector measure representation of q-concave Banach lattices
(Cornell University, 2015)
Given a Banach space valued q-concave linear operator T defined on a σ-order continuous quasi-Banach function space, we provide a description of the optimal domain of T preserving q-concavity, that is, the largest σ-order ...
Artículo
Optimal Extensions for pth Power Factorable Operators
(Springer, 2016)
Let X(μ) be a function space related to a measure space (Ω,Σ, μ) with χΩ ∈ X(μ) and let T : X(μ) → E be a Banach spacevalued operator. It is known that if T is pth power factorable then the largest function space to ...
Artículo
Cartan's contructions and the twisted Eilenberg-Zilber theorem
(De Gruyter, 2010)