Author profile: Lacruz Martín, Miguel Benito
Institutional data
Name | Lacruz Martín, Miguel Benito |
Department | Análisis Matemático |
Knowledge area | Análisis Matemático |
Professional category | Profesor Titular de Universidad |
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Statistics
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No. publications
18
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No. visits
3187
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No. downloads
4241
Publications |
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Final Degree Project
![]() Operadores absolutamente sumantes
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 |
Article
![]() Essential norm of composition operators on Banach spaces of Hölder functions
(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
(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 ... |