idUS - Author profile: Lacruz Martín, Miguel Benito

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Name	Lacruz Martín, Miguel Benito
Department	Análisis Matemático
Knowledge area	Análisis Matemático
Professional category	Profesor Titular de Universidad
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Publications
Final Degree Project Operadores absolutamente sumantes Ornedo Muñoz, Moisés; Lacruz Martín, Miguel Benito (2022) The objective of this work is to introduce ourselves to the theory of absolutely summing operators, giving an overview of ...
Article Extended eigenvalues of composition operators Lacruz Martín, Miguel Benito; León Saavedra, Fernando; Petrovic, Srdjan; Rodríguez Piazza, Luis (Elsevier, 2021) A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there ...
Article Extended eigenvalues of composition operators Lacruz Martín, Miguel Benito; Leon Saavedra, Fernando; Petrovic, Srdjan; Rodríguez Piazza, Luis (Elsevier, 2021) A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there ...
Master's Final Project Operadores esencialmente normales y existencia de subespacios invariantes Aguilar Reyes, Álvaro; Lacruz Martín, Miguel Benito (2021) A main problem of Operator Theory consists of studying which operators have an invariant subspace, or what properties they ...
Final Degree Project El algoritmo alternante de von Neumann Crespo Gallego, Ana; Lacruz Martín, Miguel Benito (2020) The aim of this work is to study in depth the alternating algorithm proposed by John von Neumann in 1933. This algorithm ...
Final Degree Project Normas de multiplicadores de Schur y truncación triangular de matrices Aguilar Reyes, Álvaro; Lacruz Martín, Miguel Benito (2020) A main topic in matrix analysis is the computation of the norms of Schur multipliers in the algebra of square matrices. The ...
Master's Final Project Operadores universales y subespacios invariantes González Doña, Francisco Javier; Rodríguez Piazza, Luis; Lacruz Martín, Miguel Benito (2019) The Invariant Subspace Problem is one of the most studied problems on Operator Theory in the last decades. In fact, it is ...
Master's Final Project La desigualdad de Von Neumann y la teoría de dilatación Constantino Oitavén, Carlos; Lacruz Martín, Miguel Benito; Rodríguez Piazza, Luis (2018) A famous inequality by von Neumann states that if T is a contraction on a Hilbert space and p is a polynomial, then kp(T)k ...
Final Degree Project Operadores de composición y clases de Schatten González Doña, Francisco Javier; Rodríguez Piazza, Luis; Lacruz Martín, Miguel Benito (2018) The main goal of this work is to characterize the membership of composition operators on the Hardy space H2 of the unit ...
Final Degree Project Una introducción a la teoría de los subespacios invariantes Constantino Oitavén, Carlos; Lacruz Martín, Miguel Benito (2017) Halmos says that one of the most recalcitrant unsolved problems in operator theory is the invariant subspace problem. The ...
Article Extended eigenvalues for Cesàro operators Lacruz Martín, Miguel Benito; León Saavedra, Fernando; Petrovic, Srdjan; Zabeti, Omid (Elsevier, 2015) A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator T on a complex Banach space if there ...
Article Invariant subspaces and Deddens algebras Lacruz Martín, Miguel Benito (Elsevier, 2015) It is shown that if the Deddens algebra DT associated with a quasinilpotent operator T on a complex Banach space is closed and localizing then T has a nontrivial closed hyperinvariant subspace.
Article A local spectral condition for strong compactness with some applications to bilateral weighted shifts Lacruz Martín, Miguel Benito; Romero de la Rosa, María del Pilar (American Mathematical Society, 2014) An algebra of bounded linear operators on a Banach space is said to be strongly compact if its unit ball is precompact in ...
Article Function algebras with a strongly precompact unit ball Lacruz Martín, Miguel Benito; Rodríguez Piazza, Luis (Elsevier, 2013) Let µ be a finite positive Borel measure with compact support K ⊆ C, and regard L∞(µ) as an algebra of multiplication ...
Article Hardy-Littlewood inequalities for norms of positive operators on sequence spaces Lacruz Martín, Miguel Benito (Elsevier, 2013) We consider estimates of Hardy and Littlewood for norms of operators on sequence spaces, and we apply a factorization result of Maurey to obtain improved estimates and simplified proofs for the special case of a positive operator.
Article Applications of fixed point theorems in the theory of invariant subspaces Espínola García, Rafael; Lacruz Martín, Miguel Benito (2012)
Article Essential norm of composition operators on Banach spaces of Hölder functions Villegas Vallecillos, Moisés; Lacruz Martín, Miguel Benito; Jiménez Vargas, Antonio (2011) Let (X, d) be a pointed compact metric space, let 0 < α < 1, and let ϕ : X → X be a base point-preserving Lipschitz map. ...
Article Strongly compact algebras Lacruz Martín, Miguel Benito; Lomonosov, Victor; Rodríguez Piazza, Luis (Real Academia de Ciencias Exactas, Fisicas y Naturales, 2006) An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively ...