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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)
      An algebra of bounded linear operators on a Banach space is said to be strongly compact if its unit ball is precompact ...
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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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      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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      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 ...
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      Extended eigenvalues of composition operators 

      Lacruz Martín, Miguel Benito; Leon 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 ...
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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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      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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      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 ...