Fréchet interpolation spaces and Grothendieck operator ideals.

Jesús M. Fernández Castillo

Displaying similar documents to “Fréchet interpolation spaces and Grothendieck operator ideals.”

On some Fréchet interpolation spaces.

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Some problems for suggested thinking in Fréchet space theory.

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Closed operator ideals and limiting real interpolation

Luz M. Fernández-Cabrera, Antón Martínez (2014)

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We establish interpolation properties under limiting real methods for a class of closed ideals including weakly compact operators, Banach-Saks operators, Rosenthal operators and Asplund operators. We show that they behave much better than compact operators.

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Interpolation theory and measures related to operator ideals

Cobos, Fernando

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Given any operator ideal $ℐ$ , there are two natural functionals $γ_{ℐ} (T)$ , $β_{ℐ} (T)$ that one can use to show the deviation of the operator $T$ to the closed surjective hull of $ℐ$ and to the closed injective hull of $ℐ$ , respectively. We describe the behaviour under interpolation of $γ_{ℐ}$ and $β_{ℐ}$ . The results are part of joint works with A. Martínez, A. Manzano and P. Fernández-Martínez.