Entropy numbers of certain summation operators.
Entropy numbers of diagonal operators of logarithmic type.
Entropy numbers of embeddings between logarithmic Sobolev spaces.
Entropy numbers of general diagonal operators.
We determine the asymptotic behavior of the entropy numbers of diagonal operators D: lp → lq, (xk) → (skxk), 0 < p,q ≤ ∞, under mild regularity and decay conditions on the generating sequence (σk). Our results extend the known estimates for polynomial and logarithmic diagonals (σk). Moreover, we also consider some exotic intermediate examples like (σk)=exp(-√log k).
Entropy numbers of r-nuclear operators between spaces
Entropy numbers of r-nuclear operators in Banach spaces of type q
Entropy of -valued operators and diverse applications.
Équations d'évolution en norme uniforme (conditions nécessaires et suffisantes de résolution et holomorphie)
Equivalence of Decomposability and 2-Decomposability for Several Commuting Operators.
Equivalence of -irreducibility concepts
Ergodic theorems and perturbations of contraction semigroups
We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.
Errata to: Local Mappings on Spaces of Differentiable Functions [1].
Erratum: “Lower bounds for some factorable matrices" [Int. J. Math. Math. Sci. 2006, No. 14, Article ID 76135 (2006; Zbl pre05231649)].
Erratum to "M-Harmonic Besov p-spaces and Hankel operators in the Bergman Space on the Ball in Cn".
Erratum to "Operators on spaces of analytic functions" (Studia Math, 108 (1994), 49-54)
Erratum to the paper: Ideals of homogeneous polynomials and weakly compact approximation property in Banach spaces published in Czech. Math. J. vol. 57 (132), No. 2 (2007), 763–776
Erratum to the paper "On the reflexivity of pairs of isometries and of tensor products of some reflexive algebras" (Studia Math. 83 (1986), 47-55)
A gap in the proof of [4, Theorem 1] is removed.
Erratum to: “Towards a theory of some unbounded linear operators on -adic Hilbert spaces and applications”
Error-estimates for the method of least squares of finding eigenvalues and eigenfunctions
Espace de Dixmier des opérateurs de Hankel sur les espaces de Bergman à poids
Nous donnons des résultats théoriques sur l’idéal de Macaev et la trace de Dixmier. Ensuite, nous caractérisons les symboles antiholomorphes tels que l’opérateur de Hankel sur l’espace de Bergman à poids soit dans l’idéal de Macaev et nous donnons la trace de Dixmier. Pour cela, nous regardons le comportement des normes de Schatten quand tend vers et nous nous appuyons sur le résultat de Engliš et Rochberg sur l’espace de Bergman. Nous parlons aussi des puissances de tels opérateurs. Abstract....