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$E_{φ, ϕ}$ operators between normed spaces

Tita, N. (1978)

Portugaliae mathematica

Eigenvalue distribution of integral operators defined by Besov-Orlicz kernels.

Elshobaky, E., Faragallah, M. (1997)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Eigenvalue distribution of integral operators defined by Orlicz kernels.

Elshobaky, E., Faragallah, M. (1998)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Eigenvalues of Hille-Tamarkin operators and geometry of Banach function spaces

Thomas Kühn, Mieczysław Mastyło (2011)

Studia Mathematica

We investigate how the asymptotic eigenvalue behaviour of Hille-Tamarkin operators in Banach function spaces depends on the geometry of the spaces involved. It turns out that the relevant properties are cotype p and p-concavity. We prove some eigenvalue estimates for Hille-Tamarkin operators in general Banach function spaces which extend the classical results in Lebesgue spaces. We specialize our results to Lorentz, Orlicz and Zygmund spaces and give applications to Fourier analysis. We are also...

Eigenvalues of Integral Operators, I.

Albrecht Pietsch (1980)

Mathematische Annalen

Eigenvalues of Integral Operators. II.

Albrecht Pietsch (1983)

Mathematische Annalen

Entropy and n-widths of operators in Banach spaces

Bernd Carl (1989)

Banach Center Publications

Entropy numbers of r-nuclear operators between $L_{p}$ spaces

Bernd Carl (1983)

Studia Mathematica

Entropy numbers of r-nuclear operators in Banach spaces of type q

Thomas Kühn (1984)

Studia Mathematica

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

Erhan Çalışkan (2010)

Czechoslovak Mathematical Journal

Espace de Dixmier des opérateurs de Hankel sur les espaces de Bergman à poids

Romaric Tytgat (2015)

Czechoslovak Mathematical Journal

Nous donnons des résultats théoriques sur l’idéal de Macaev et la trace de Dixmier. Ensuite, nous caractérisons les symboles antiholomorphes $\bar{f}$ tels que l’opérateur de Hankel $H_{\bar{f}}$ 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 $𝒮^{p}$ quand $p$ tend vers $1$ 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....

Espaces de cotype $p$ , $0 < p \leq 2$

B. Maurey (1972/1973)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Essential norms of weighted composition operators on the space $ℋ^{\infty}$ of Dirichlet series

Pascal Lefèvre (2009)

Studia Mathematica

We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space $ℋ^{\infty}$ of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.

Estimates for the approximation numbers of one class of integral operators. II.

Lomakina, E.N. (2003)

Sibirskij Matematicheskij Zhurnal

Estimates for the approximation numbers of one class of integral operators. I.

Lomakina, E.N. (2003)

Sibirskij Matematicheskij Zhurnal

Estimating compactness properties of operators by the aid of generalized entropy numbers.

Bernd Carl, Irmtraud Stephani (1984)

Journal für die reine und angewandte Mathematik

Estimations des distances à un espace euclidien et des constantes de projection des espaces de Banach de dimension finie ; d'après H. König et al.

G. Pisier (1978/1979)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Exact asymptotic behavior of singular values of a class of integral operators

Milutin R. Dostanić (1999)

Czechoslovak Mathematical Journal

We find an exact asymptotic formula for the singular values of the integral operator of the form $\int_{Ω} T (x, y) k (x - y) \cdot d y L^{2} (Ω) \to L^{2} (Ω)$ ( $Ω \subset ℝ^{m}$ , a Jordan measurable set) where $k (t) = k_{0} ({(t_{1}^{2} + t_{2}^{2} + ... t_{m}^{2})}^{\frac{m}{2}})$ , $k_{0} (x) = x^{α - 1} L (\frac{1}{x})$ , $\frac{1}{2} - \frac{1}{2 m} < α < \frac{1}{2}$ and $L$ is slowly varying function with some additional properties. The formula is an explicit expression in terms of $L$ and $T$ .

Exemples d'utilisation de la théorie des applications radonifiantes

P. Krée (1973/1974)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Extension of Zhu's solution to Lotto's conjecture on the weighted Bergman spaces.

Tadesse, Abebaw (2004)

International Journal of Mathematics and Mathematical Sciences

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