Data

NameLacruz Martín, Miguel Benito
DepartmentAnálisis Matemático
Knowledge areaAnálisis Matemático
Professional categoryProfesor Titular de Universidad
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  Statistics

  • Items

    13

  • Visits

    1711

  • Downloads

    2124

  Publications

 

Article
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Extended eigenvalues of composition operators

Lacruz Martín, Miguel Benito; León Saavedra, Fernando; Petrovic, Srdjan; Rodríguez Piazza, Luis (Elsevier, 2021-12-15)
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 universales y subespacios invariantes

Rodríguez Piazza, Luis; Lacruz Martín, Miguel Benito; González Doña, Francisco Javier (2019-01-01)
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

Lacruz Martín, Miguel Benito; Rodríguez Piazza, Luis; Constantino Oitavén, Carlos (2018-09-01)
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

Rodríguez Piazza, Luis; Lacruz Martín, Miguel Benito; González Doña, Francisco Javier (2018-01-01)
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

Lacruz Martín, Miguel Benito; Constantino Oitavén, Carlos (2017-06-01)
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, 2015-09-15)
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, 2015-01-01)
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, 2014-01-01)
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, 2013-10-01)
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, 2013-01-01)
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 (2012-01-01)
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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 (2011-01-01)
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, 2006-01-01)
An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively ...