$Lina Oliveira$

Lina Oliveira

Phone	(351) 218 417 127

Email	lina.oliveira@tecnico.ulisboa.pt

Office	Mathematics Building, 4th floor, room 4.31

Postal Address	Departamento de Matemática
	Instituto Superior Técnico
	Av. Rovisco Pais
	1049-001 Lisboa, Portugal

Position

Professor Auxiliar

Member of the Center for Mathematical Analysis, Geometry and Dynamical Systems

Education

DPhil in Mathematics, 2000, University of Oxford

Research Interests

Functional Analysis, Operator Algebras, Operator Theory

Research Publications

Bimodules of Banach space nest algebras (joint with L. Duarte), Q. J. Math. (2021) haab028, https://doi.org/10.1093/qmath/haab028.

Kernel maps and operator decomposition (joint with G. Matos), Banach J. Math. Anal. (2) 14 (2020) 361-379.

A note on the uniqueness of Hahn-Banach extensions, Math. Proc. Ir. Acad. (2) 119A (2019) 157-171.

When is a finite sum of box operators on a JB*-triple a Hermitian projection? (joint with D. Ilisevic), Recent Trends in Operator Theory and Applications, Contemp. Math. 737 (2019) 107-117.

Q-measures on the unit dual ball of a JB*-triple (joint with C.M. Edwards), J. Korean Math. Soc. (1) 56 (2019) 197-224.

Tits-Kantor-Koecher Lie algebras of JB*-triples (joint with com C-H. Chu), J. Algebra 512 (2018), 465-492.

Image reconstruction based on circulant matrices (joint with E. Carrasquinha, C. Amado e A. Pires), Signal Process-Image 63 (2018) 72-80.

A characterization of reflexive spaces of operators (joint with J. Bracic), Czech. Math. J. 68 (143) (2018) 257-266.

Weakly closed Lie modules of nest algebras (joint with M. Santos), Oper. Matrices (1) 11 (2017) 23-35.

Decomposability of bimodule maps (joint with C. Le Merdy), Math. Scand. (2) 119 (2016) 283-292.

Local facial structure and norm-exposed faces of the unit ball in a JB*-triple (joint with C.M. Edwards), J. Math. Anal. Appl. 421 (2015) no. 2, 1315-1333.

Normalisers of operator algebras and tensor product formulas (joint with M. McGarvey and I.G. Todorov), Rev. Mat. Iberoam. (4) 29 (2013) 1373-1395.

A decomposition theorem for Lie ideals in nest algebras (joint with J. Almeida), Arch. Math. (6) 97 (2011) 549-558.

Finite rank operators in Lie ideals of nest algebras, Houston J. Math. (2) 37 (2011) 519-536.

Range tripotents and order in JBW*-triples, Banach Algebras 2009, Banach Center Publications 91 (2010) 233-246.

On range tripotents in JBW*-triples, Arch. Math. (6) 91 (2008) 544-553.

On the structure of inner ideals of nest algebras, Rend. Circ. Mat. Palermo (2) 52 (2003) 224-240.

Weak*-closed Jordan ideals of nest algebras, Math. Nachr. 248-249 (2003) 129-143.

Partial Jordan *-triples, DPhil Thesis, University of Oxford, 2000.