2 citations · 2 across the 10 of their papers we have counts for
11 papers
Aliprantis's questions on locally solid topologies
David Muñoz-Lahoz, Mitchell A. Taylor, Pedro Tradacete
In 1974, C. D. Aliprantis posed several questions concerning topological completions of locally solid vector lattices. We answer all of them in the negative. We construct Hausdorff…
The Banach lattice Lean library
David Muñoz-Lahoz
We present a Lean 4 library for the theory of Banach lattices. Its purpose is to support the systematic formalization of contemporary research in Banach lattices and related areas.…
Banach lattices and phase retrieval: A case study for the use of AI in mathematics
Jaume de Dios Pont, Lukas Liehr, David Muñoz-Lahoz +2
The ability of large language models to assist professional mathematicians has been progressing rapidly. Earlier this year, a group of researchers in Banach lattice theory and phas…
Lattice-ordered algebras admitting a polynomial growth continuous function calculus
David Muñoz-Lahoz
We characterize the Archimedean lattice-ordered algebras with identity that admit a polynomial growth continuous function calculus. More precisely, for an -tuple $\mathbf{x}=(x_…
Wickstead's conjecture on positive projections and non-representable Banach lattice algebras
David Muñoz-Lahoz
Let be a Dedekind complete Banach lattice, and let be a positive projection for which the largest central operator below is , for som…
Free Banach -algebras
David Muñoz-Lahoz, Pedro Tradacete
We construct and analyze the free Banach -algebra generated by a Banach space , extending recent developments on free Banach lattices to the…
-algebra products on AL and AM-spaces
David Muñoz-Lahoz
We characterize all -algebra products on AM-spaces by constructing a canonical AM-space associated to each AM-space , such that the -algebra products on correspo…
Banach lattice AM-algebras
David Muñoz-Lahoz, Pedro Tradacete
An analogue of Kakutani's representation theorem for Banach lattice algebras is provided. We characterize Banach lattice algebras that embed as a closed sublattice-algebra of $C(K)…
Band projections and order idempotents in Banach lattice algebras
David Muñoz-Lahoz
Motivated by recent work about band projections on spaces of regular operators over a Banach lattice, given a Banach lattice algebra , we will say an element is a ba…
Band projections in spaces of regular operators
David Muñoz-Lahoz, Pedro Tradacete
We introduce inner band projections in the space of regular operators on a Dedekind complete Banach lattice and study some structural properties of this class. In particular, we pr…
Phase estimation with limited coherence
D. Munoz-Lahoz, J. Calsamiglia, J. A. Bergou +1
We investigate the ultimate precision limits for quantum phase estimation in terms of the coherence, , of the probe. For pure states, we give the minimum estimation variance att…