Papers – Sheldon Dantas

List of papers

Preprints

★ 2026

A strictly convex and smooth Banach space with the Daugavet property

(Submitted to arXiv – September 2026)

S.D., J.K. Kaasik and J. Perreau

AI assistance (ChatGPT 5.4 Plus):

After several interaction concerning the problem of constructing a strictly convex renorming on L_1[0,1], inspired by the recent construction of Cobollo and Hájek, ChatGPT suggested considering the norm introduced in this paper.

On exposed (symmetric) tensors

(Submitted to arXiv – September 2026)

S.D., M. Mazzitelli and J.T. Rodríguez

AI assistance (ChatGPT 5.4 Plus):

★ Suggested Lemmas 3.2 and 4.2.

★ Suggested the norm on X used in the final version.

On operators whose adjoints or second adjoints attain their norms

(Submitted – September 2026)

S.D., M. Martín and M. Jung

Concentration theorems for 2-homogeneous polynomials and bilinear forms with applications to Kadec-Klee properties

(Submitted – August 2026)

S.D. and J.T. Rodríguez

AI assistance (ChatGPT Go):

★ Proofreading of the entire paper.

On the Bollobás theorem for complex C(K)-spaces

(Submitted – July 2026)

S.D. and H. Del Río

A group action approach to the Daugavet property

(Submitted – June 2026)

S.D., H. Del Río and T. Raunig

Integral representations of projective norm-attaining tensors

(Resubmitted August 2026)

R.J. Aliaga, S.D., J. Guerrero-Viu, M. Jung and Ó. Roldán

★ 2025

Group equivariant Radon-Nikodým property and its characterizations

(Submitted – November 2025)

(Resubmitted – July 18th 2026)

S.D., M. Doucha, M. Jung and T. Raunig

The Daugavet property is equivalent to the polynomial Daugavet property

(Submitted – July 2025)

(Resubmitted – July 2026)

S.D., M. Martín and Y. Perreau

★ 2024

Linear structures in the set of non-norm-attaining operators on Banach spaces

(Resubmitted – March 2026)

S.D., J. Falcó, M. Jung, and D.L. Rodríguez-Vidanes

Accepted

(2026) Twisted Hilbert spaces defined by bi-Lipschitz maps

Accepted in Israel Journal of Mathematics

W. Corrêa, S.D. and D.L. Rodríguez-Vidanes

(ČVUT)

Published

(2025) Algebraic genericity of certain families of nets in Functional Analysis

Israel Journal of Mathematics

S.D. and D.L. Rodríguez-Vidanes

(Universidad de Granada)

(2025) Searching for linear structures in the failure of the Stone-Weierstrass theorem

Revista Matemática Complutense

M. Caballer, S.D. and D.L. Rodríguez-Vidanes

(Universidad de Granada)

(2025) On the strong subdifferentiability of the homogeneous polynomials and (symmetric) tensor products

Publicacions Matemàtiques

S.D., M. Jung, M. Mazzitelli, and J.T. Rodríguez

(Universidad de Granada)

(2024) On holomorphic functions attaining their weighted norms

RACSAM

S.D. and R. Medina

(Universidad de Granada)

(2024) On the strongly subdifferentiable points in Lipschitz-free spaces

Banach Journal of Mathematical Analysis

Ch. Cobollo, S.D., P. Hájek and M. Jung

(Universidad de Granada)

(2024) Smooth norms in dense subspaces of \ell_p(\Gamma) and operator ranges

Revista Matemática Complutense

S.D., P. Hájek, and T. Russo

(Universitat de València)

(2023) On isometric embeddings into the set of strongly norm-attaining Lipschitz functions

Nonlinear Analysis

S.D., R. Medina, A. Quilis, and Ó. Roldán

(Universitat de València)

(2023) On various types of density of numerical radius attaining operators

Linear and Multilinear Algebra

S.D., S.K. Kim, H.J. Lee, and M. Mazzitelli

(Universitat Jaume I)

(2022) Group invariant operators and some applications to norm-attaining theory

Results in Mathematics

S.D., J. Falcó, and M. Jung

(Universitat de València)

(2022) Smooth and polyhedral norms via fundamental biorthogonal systems

International Mathematics Research Notices

S.D., P. Hájek, and T. Russo

(Universitat Jaume I)

(2022) The Bishop-Phelps-Bollobás theorem: an overview

S.D., D. García, M. Maestre, and Ó. Roldán

Book chapter (Birkhäuser):

Operator and Norm Inequalities and Related Topics

(Universitat Jaume I)

(2022) On norm-attaining in (symmetric) tensor products

S.D., L.C. García-Lirola, M. Jung, and A. Rueda Zoca

Quaestiones Mathematicae

(Universitat Jaume I)

(2022) Norm-attaining tensors and nuclear operators

S.D., M. Jung, Ó. Roldán, and A. Rueda Zoca

Mediterranean Journal of Mathematics

(Universitat Jaume I)

(2022) Norm-attaining lattice homomorphisms

S.D., G. Martínez-Cervantes , J.D. Rodríguez-Abellán , and A. Rueda Zoca

Revista Matemática Iberoamericana

(Universitat Jaume I)

(2021) Bishop-Phelps-Bollobás properties in complex Hilbert spaces

Y.S. Choi, S.D., and M. Jung

Mathematische Nachrichten

(Universitat Jaume I)

(2021) A characterization of a local vector valued Bollobás theorem

S.D. and A. Rueda Zoca

Results in Mathematics

(Universitat Jaume I)

(2021) Daugavet points in projective tensor products

S.D., M. Jung, and A. Rueda Zoca

The Quarterly Journal of Mathematics

(Universitat Jaume I)

(2021) On the existence of non-norm-attaining operators

S.D., M. Jung, and G. Martínez-Cervantes

Journal of the Institute of Mathematics of Jussieu

(Universitat Jaume I)

(2021) Some remarks on the weak maximizing property

S.D., M. Jung, and G. Martínez-Cervantes

Journal of Mathematical Analysis and Applications

(Universitat Jaume I)

(2021) Norm-attaining operators which satisfies a Bollobás type theorem

S.D., M. Jung , and O. Roldán

Banach Journal of Mathematical Analysis