Daniele PUGLISI

Associate Professor of Mathematical analysis [MAT/05]
Office: V.le A. Doria, 6 STUDIO 319 - DMI - BLOCCO 1
Email: dpuglisi@dmi.unict.it
Phone: 095 7383073
Fax: 095 330094
Web Site: www.dmi.unict.it/dpuglisi/
Office Hours: Thursday from 15:00 to 18:00 presso l'ufficio 319 del DMI o via teams



Daniele Puglisi is Associate Professor in Mathematical Analysis at the University of Catania.

He carries out research activities in various areas in the fields of  Mathematical Analysis, Geometry and Logic.

Education:

  • Laurea in Mathematics, University of Catania (Italy), (2002). 
  • Ph.D. in Mathematics, University of Naples "Federco II" (Italy). Advisor: J. Diestel (Kent State University), (2008).

Professional Experience:

  • 2005-2007 Visiting Researcher, Kent State University, Department of Mathematics, Kent, Ohio (USA).
  • 2007-2008 Lectureship Fellow, Kent State University, Department of Mathematics, Kent, Ohio (USA).
  • 2008-2009 Post Doctoral Fellow, University of Missouri, Department of Mathematics, Columbia, Missouri (USA).
  • 2010-2011 Visiting Researcher-Professor, University of Granada, Department of Analysis Mathematical, Granada, Spain (EU).
  • 2011-2013 Post Doctoral Fellow, University of Catania, Department of Mathematics, Catania, Italy (EU).
  • 2014-PRESENT Assistant Professor (Area MAT/05), University of Catania, Department of Mathematics, Catania, Italy (EU).

 

 

  • D. Puglisi, J. Mirmina, Closed selections of Vitali's type. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 32 (2021), no.4, 751-755. 
  • F. Faraci, D. Puglisi, Nodal solutions of semi-linear elliptic equations with dependence on the gradient. Bull. Sci. Math. 175 (2022), Paper No. 103101, 16 pp.
  • A. Bella, D. Puglisi, A. Villani, Nonmeasurable Vitali's set: variations on theme. to appear in Quaestiones Mathematicae (2022).
  • Daniele Puglisi; Fremlin tensor products of Banach lattices. Quaest. Math. 30 (2007), no. 1 45-56.
  • D. Puglisi, J.B. Seoane-Sepulveda , Bounded linear non-absolutely summing operators J. Math. Anal. Appl. 338 (2008), 292-298. 
  • G. A. Munoz-Fernandez, N. Palmberg, D. Puglisi, J. B. Seoane- Sepulveda; Lineability in subsets of measure and function spaces. Linear Algebra Appl. 428 (2008), 2805-2812.
  • D. Puglisi, G. Saluzzo; Stability on Local Unconditional Structure and the Gordon-Lewis Property in Tensor Products. Quaest. Math. 31 (2008), 141-150.
  • J. Diestel, D. Puglisi; A note on Weakly Compact Subsets in Projective Tensor Product of Banach Spaces. J. Math. Anal. Appl. 350 (2009), 508-513. 
  • M. De Kock, D. Puglisi; In the Range of a vector Measure. Operator Theory: Advances and Applications, Vol. 201 (2010), 285-292. 
  • F.J. Garcia-Pacheco, D. Puglisi; Lineability of functionals and operators. Studia Math. 201 (2010), no. 1, 37-47. 
  • J. Diestel, A. Peralta, D. Puglisi; Sequential w-right continuity and summing operators. Math. Nach., 284, No. 5-6, (2011) 664-680. 
  • A. M. Peralta, D. Puglisi; Orthogonally additive Holomorphic functions on C*-algebras. Operators and Matrices. 6 (2012), no. 3, 621-629. 
  • T. Oikhberg, A. M. Peralta, D. Puglisi; Automatic Continuity of L-Norms on the Predual of a Von Neumann Algebra. Rev. Mat. Complutense 26, (2013), 57-88.
  • G. Barbieri, F.J. Garcia-Pacheco, D. Puglisi; Lineability and spaceability on vector-measure spaces. Studia Math. 219 (2013), 155-161. 
  • S.A. Marano, D. Motreanu, D. Puglisi; Multiple solutions to a Dirichlet eigenvalue problem with p-Laplacian. Topological Methods in Nonlinear Analysis 42, No. 2, (2013), 277–291.
  • J.J. Garces, A.M. Peralta, D. Puglisi, M.I. Ramirez; Orthogonally additive, orthogonality preserving, holomorphic mappings between C*-algebras. Abstr. Appl. Anal. (2013), Art. ID 415354, 9 pp.
  • D. Puglisi; The position of K(X,Y) in L(X,Y). Glasg. Math. J. 56 (2014), no. 2, 409–417. 
  • F.J. Garcia-Pacheco, D. Puglisi, G. Van Zyl; Some more applications of the Hahn-Banach theorem. J. Convex Anal. 21 (2014), No. 1, 179--188. 
  • A. Maugeri, D. Puglisi; A new necessary and sufficient condition for the strong duality and the infinite dimensional Lagrange Multiplier rule. J. Math. Anal. Appl. 415 (2014), no. 2, 661–676. 
  • G. Barbieri, F.J. Garcia-Pacheco, D. Puglisi; Addendum to "Lineability and spaceability on vector-measure spaces". Studia Math. 224 (2014), n.2, 193. 
  • A. Maugeri, D. Puglisi; Non-convex strong duality via subdifferential. Numerical Functional Analysis and Optimization 35 (2014), 1095-1112. 
  • F.J. Garcia-Pacheco, D. Puglisi, G. Van Zyl; On i-operators on real normed spaces. Quaest. Math. 38 (2015), no. 2, 257–270. 
  • S. Giuffrè, A. Maugeri, D. Puglisi; Lagrange multipliers in elastic-plastic torsion problem for nonlinear monotone operators. J. Differential Equations 259 (2015), no. 3, 817-837. 
  • F. Faraci, D. Motreanu, D. Puglisi; Positive solutions of quasi-linear elliptic equations with dependence on the gradient. Calc. Var. Partial Differential Equations 54 (2015), no. 1, 525-538. 
  • F.J. Garcia-Pacheco, D. Puglisi; A short note on the lineability of norm-attaining functionals in subspaces of $\ell_\infty$. Arch. Math. (Basel) 105 (2015), no. 5, 461-465. 
  • F. Faraci and D. Puglisi; On a Singular Semilinear Problem with Dependence on the Gradient. J. Differential Equations 260 (2016), no.4, 3327-3349. 
  • F.J. Garcia-Pacheco, D. Puglisi; A simple equivalent reformulation of the separable quotient problem. Acta Math. Hungar. 148 (2016), no. 1, 96-99. 
  • P. Motakis, D. Puglisi, D. Zisimopoulou; A hierarchy of Banach spaces with C(K) Calkin algebras. Indiana Univ. Math. J. 65 (2016), no. 1, 39-67. 
  • F.J. Garcia-Pacheco, A. Miralles, D. Puglisi; Selectors of the duality mapping. Math. Proc. Royal Irish Acad. 116A (2016), no. 2, 105-111. 
  • F.J. Garcia-Pacheco, D. Puglisi; Renormings concerning the lineability of the norm-attaining functionals. J. Math. Anal. Appl. 445 (2017), no. 2, 1321-1327. 
  • A. Maugeri, D. Puglisi; On nonlinear strong duality and the infinite dimensional Lagrange Multiplier rule. J. Nonlinear Convex Anal. 18 (2017), 369--378. 
  • F.J. Garcia-Pacheco, D. Puglisi; Lineability of functionals and renormings. Bull. Belg. Math. Soc. 25 (2018), no.1, 141-147. 
  • D. Puglisi; Operators on Bourgain-Delbaen's spaces. Math. Mech. Compl. Sys. 6 (2018), no. 1, 61–67.  
  • S. Giuffrè, A. Pratelli, D. Puglisi; Radial solutions and free boundary of the elastic-plastic torsion problem. J. Convex Anal 25 (2018), no. 2, 529-543. 
  • P. Motakis, D. Puglisi, A. Tolias; Algebras of diagonal operators of the form scalar-plus-compact are Calkin algebras, Michigan Math. J. 69 (2020), no.1, 97-152.
  • L. Ambrosio, D. Puglisi; Linear extension operators between spaces of Lipschitz maps and optimal transport,  J. Reine Angew. Math 764 (2020), 1-21.
  • D. Puglisi; A property on Monge-Ampère equation, Israel Journal of Mathematics 236 (2020), no. 2, 959-965. 
  • D. Puglisi, J. Mirmina, Closed selections of Vitali's type. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 32 (2021), no.4, 751-755. 
  • F. Faraci, D. Puglisi, Nodal solutions of semi-linear elliptic equations with dependence on the gradient. Bull. Sci. Math. 175 (2022), Paper No. 103101, 16 pp.
  • A. Bella, D. Puglisi, A. Villani, Nonmeasurable Vitali's set: variations on theme. to appear in Quaestiones Mathematicae (2022).

Teachings held in other departments in the academic year 2019/2020

Research Interests: 

  • Linear and nonlinear Geometry of Banach spaces.
  • Descriptive set theory.
  • Harmonic Analysis.
  • C*-Algebras.
  • Optimization Theory.
  • Partial Differential Equations.
  • Geometric measure theory