NameLacruz Martín, Miguel Benito
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryProfesor Titular de Universidad
E-mailRequest
           
  • No. publications

    18

  • No. visits

    3045

  • No. downloads

    4127


 

Final Degree Project
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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 ...
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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 ...
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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
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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
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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
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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
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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
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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
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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
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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 ...
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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 ...
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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.
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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 ...
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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 ...
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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.
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Applications of fixed point theorems in the theory of invariant subspaces

Espínola García, Rafael; Lacruz Martín, Miguel Benito (2012)
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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. ...
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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 ...