Research

Publications

Journal Articles

2026
C(K)-spaces with few operators relative to posets
A. Acuaviva
Topology and its Applications, article 109987 · Available online 2 October 2026 (journal pre-proof)
Article
2026
Curved RUM spectra of periodic frameworks
A. Acuaviva, J. Esson, E. Kastis, and B. Schulze
Bulletin of the London Mathematical Society, vol. 58(10), e70513
Article
2026
Fully Distributed and Resilient Source Seeking for Robot Swarms
J. Bautista*, A. Acuaviva*, J. Hinojosa, W. Yao, J. Jimenez, and H. Garcia de Marina
IEEE Transactions on Automatic Control, Early Access, pp. 1–16 · *Equal contribution
Article
2026
The class of Banach lattices is not primary
A. Acuaviva
Forum of Mathematics, Sigma, vol. 14, e41, pp. 1–18
Article
2026
Quantifying (non-)weak compactness of operators on AL- and C(K)-spaces
A. Acuaviva and A. B. Nasseri
Proceedings of the Edinburgh Mathematical Society, vol. 69(3), pp. 1088–1143
Article
2026
Complemented subspaces of a C(K)-space constructed by Candido
A. Acuaviva
Journal of Mathematical Analysis and Applications, vol. 556(1), 130115
Article
2026
Operators on injective tensor products of separable Banach spaces and spaces with few operators
A. Acuaviva
Journal of Functional Analysis, vol. 290(1), 111203
Article
2025
Factorizations and minimality of the Calkin Algebra norm for C(K)-spaces
A. Acuaviva
Journal of the London Mathematical Society, vol. 112(4), e70321
Article
2025
State Transfer in Chiral Quantum Walks
A. Acuaviva, A. Chan, S. Eldridge, C. Godsil, M. How-Chun-Lun, C. Tamon, E. Wright, and X. Zhang
Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, vol. 383(2306), 20240420
Article Poster
2022
Equidistribution of zeros of some polynomials related to cyclic functions
A. Acuaviva and D. Seco
Analysis and Mathematical Physics, vol. 12(2), 53
Article

Conference Proceedings

2024
Resilient Source Seeking with Robot Swarms
A. Acuaviva, J. Bautista, W. Yao, J. Jimenez, and H. Garcia de Marina
Proceedings of the IEEE 63rd Conference on Decision and Control (CDC), Milan, Italy, pp. 57–63
Proceedings

Preprints and Submitted Work

2026
A solution to Michael's problem for Fréchet algebras
A. Acuaviva
arXiv, 2609.28584 Preprint
arXiv
2026
On complemented subspaces of L₁[0, 1]
A. Acuaviva
arXiv, 2609.17283 Preprint
arXiv
2026
A negative solution to the complemented subspace problem for Banach spaces with unconditional bases
A. Acuaviva
arXiv, 2609.08921 Preprint
arXiv
2026
Banach's Isometric Conjecture over the Complex Field
A. Acuaviva and T. Kania
arXiv, 2608.18257 Preprint
arXiv
2026
The uniform primary factorisation property for C(K, E)
A. Acuaviva and P. Acuaviva
arXiv, 2609.18993 Preprint
arXiv
2026
CNOT-Distance is NP-complete under all-to-all connectivity
A. Acuaviva, A. Acuaviva, and P. Acuaviva
arXiv, 2608.03825 Preprint
arXiv
2026
Mathematical Discovery in the Wild: AI-Guided Proofs in Banach Space Theory
A. Acuaviva and P. Acuaviva
arXiv, 2607.17388 Preprint
arXiv
2026
A Unital Banach Algebra Which Is Not a Calkin Algebra
A. Acuaviva and P. Acuaviva
arXiv, 2607.15075 Preprint
arXiv
2026
A Separable Banach Space with a Schauder Basis Which Is Not a Lipschitz Retract of Its Bidual
A. Acuaviva
arXiv, 2607.12935 Preprint
arXiv
2026
Pure infiniteness and primary factorisation
A. Acuaviva, B. Horváth, and T. Kania
arXiv, 2607.01467 Preprint
arXiv
2026
Preservation of primariness under ℓ₁-, c₀-, and ℓ∞-sums of Banach spaces
A. Acuaviva
arXiv, 2606.26417 Preprint
arXiv
2026
Primariness of the spaces ℓₚ(C(K)) for 1 ≤ p ≤ ∞
A. Acuaviva
arXiv, 2605.29854 Preprint
arXiv
2026
Primariness and the Primary Factorisation Property
A. Acuaviva and T. Kania
arXiv, 2605.21711 Preprint
arXiv

Publications

Journal Articles

C(K)-spaces with few operators relative to posets

Curved RUM spectra of periodic frameworks

Fully Distributed and Resilient Source Seeking for Robot Swarms

The class of Banach lattices is not primary

Quantifying (non-)weak compactness of operators on AL- and C(K)-spaces

Complemented subspaces of a C(K)-space constructed by Candido

Operators on injective tensor products of separable Banach spaces and spaces with few operators

Factorizations and minimality of the Calkin Algebra norm for C(K)-spaces

State Transfer in Chiral Quantum Walks

Equidistribution of zeros of some polynomials related to cyclic functions

Conference Proceedings

Resilient Source Seeking with Robot Swarms

Preprints and Submitted Work

A solution to Michael's problem for Fréchet algebras

On complemented subspaces of L₁[0, 1]

A negative solution to the complemented subspace problem for Banach spaces with unconditional bases

Banach's Isometric Conjecture over the Complex Field

The uniform primary factorisation property for C(K, E)

CNOT-Distance is NP-complete under all-to-all connectivity

Mathematical Discovery in the Wild: AI-Guided Proofs in Banach Space Theory

A Unital Banach Algebra Which Is Not a Calkin Algebra

A Separable Banach Space with a Schauder Basis Which Is Not a Lipschitz Retract of Its Bidual

Pure infiniteness and primary factorisation

Preservation of primariness under ℓ₁-, c₀-, and ℓ∞-sums of Banach spaces

Primariness of the spaces ℓₚ(C(K)) for 1 ≤ p ≤ ∞

Primariness and the Primary Factorisation Property

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