6 citations · 7 across the 14 of their papers we have counts for
20 papers
-spaceability of continuous functions with prescribed Hausdorff graph dimension
Anselmo Raposo Junior, Daniel Pellegrino
Let and let consist of the real-valued continuous functions on whose graphs have Hausdorff dimension . We prove that every finite-dimensional subs…
Criticality Concentrates Extensive Sensing Information into a Local Readout
Peng Wang, Yu-Xuan Zhang, Hai-Tao Ding +1
We show that criticality concentrates extensive sensing information into a local trajectory. In the rapid-readout limit of an all-to-all dissipative feedback network, a single bina…
Sparse Kahane--Salem--Zygmund Forms and Weighted Hardy--Littlewood Inequalities Across the Critical Endpoint
Anderson Barbosa, Daniel Núñez-Alarcón, Anselmo Raposo +1
We study sparse Kahane--Salem--Zygmund constructions and weighted Hardy--Littlewood inequalities for homogeneous polynomials. For supports of cardinality , we determine…
Symmetric Kahane--Salem--Zygmund Inequalities and the Supremum Norm
Daniel M. Pellegrino, Anselmo B. Raposo, Eduardo V. Teixeira
The Kahane--Salem--Zygmund inequality provides unimodular -linear forms with small supremum norm. We consider its dimension-free symmetric constant over the…
Sharp Summability on Supports of Prescribed Combinatorial Dimension
Anderson Barbosa, Daniel Pellegrino, Anselmo Raposo +1
We solve four questions raised by Bayart concerning coefficient summability for multilinear forms with prescribed supports. For every and , we determine the pro…
Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials
Daniel Nunez-Alarcon, Daniel M. Pellegrino, Anselmo Raposo +1
We determine the dimension-free threshold for the comparison between the Bombieri--Weyl norm and the supremum norm of complex homogeneous polynomials on . For -homogen…
Quantum simulation of circular cluster interactions in a linear spin chain
Alexander van Lomwel, Hongzheng Zhao, Florian Mintert
The preparation of ground states of Hamiltonians with symmetries that are fundamentally different than those of the underlying device is a central challenge for quantum technologie…
Subexponential Bohnenblust-Hille Inequalities on Finite Cyclic Groups
Daniel M. Pellegrino, Anselmo Raposo
Let denote the group of the th roots of unity. A question arising from the work of Becker, Klein, Slote, Volberg and Zhang is whether the dimension-free Bohnenblust--Hille…
Hilbertian Kahane--Salem--Zygmund Inequalities: Extremizers and Quantitative Gaps
Daniel M. Pellegrino, Anselmo Raposo
We study real multilinear forms with coefficients in on finite-dimensional Hilbert spaces. Every trilinear sign form on has norm a…
Weak Minimizing Property and the Compact Perturbation Property for the Minimum Modulus
Anselmo Raposo, Geivison Ribeiro
For an operator , denote . A sequence in is said to be minimizing for if . The weak minimizing property…
On a theorem due to Murray
A. Barbosa, A. Raposo, G. Ribeiro
In this paper, we introduce the notions of -quasicomplemented and totally -quasicomplemented subspaces and we established some results under these contexts. We show, for exam…
Pointwise linear separation property and infinite pointwise dense lineability
Anselmo Raposo, Geivison Ribeiro
In this note we generalize a criterion within the concept of infinite dense lineability due to Calderón-Moreno, Gerlach-Mena and Prado-Bassas. We also introduce and explore some lo…
On the spaceability of the set of functions in the Lebesgue space which are in no other
Gustavo Araújo, Anderson Barbosa, Anselmo Raposo +1
In this note we prove that, for , is -spaceable if, and only if, . Such a problem…
Regularity of the coefficients of multilinear forms on sequence spaces
Daniel Pellegrino, Anselmo Raposo, Diana Serrano-Rodríguez
The investigation of regularity/summability properties of the coefficients of bilinear forms in sequence spaces was initiated by Littlewood in . Nowadays, this topic has impo…
Upper bounds for the constants of Bennett's inequality and the Gale--Berlekamp switching game
Daniel Pellegrino, Anselmo Raposo
In , G. Bennett proved, by means of non-deterministic methods, an inequality which plays a fundamental role in a series of optimization problems. More precisely, Bennett's in…
Constants of the Kahane--Salem--Zygmund inequality asymptotically bounded by II
Daniel Pellegrino, Anselmo Raposo
In [18] we have shown that, for , the constants of Bennett's inequality on unimodular bilinear forms on …
Pointwise Lineability in Sequence Spaces
Daniel Pellegrino, Anselmo Raposo
We prove that several results of lineability/spaceability in the framework of sequence spaces are valid in a stricter sense.
A note on the geometry of certain classes of linear operators
Diogo Diniz, Anselmo Raposo
In this note we introduce a new technique to answer an issue posed in [7] concerning geometric properties of the set of non-surjective linear operators. We also extend and improve…
Constants of the Kahane--Salem--Zygmund inequality asymptotically bounded by
Daniel Pellegrino, Anselmo Raposo
The Kahane--Salem--Zygmund inequality for multilinear forms in spaces claims that, for all positive integers , there exists an -linear form $A…
Spaceability of the sets of surjective and injective operators between sequence spaces
Diogo Diniz, Vinícius Fávaro, Daniel Pellegrino +1
We investigate algebraic structures within sets of surjective and injective linear operators between sequence spaces, completing results of Aron et al.