Interpolation theory and measures related to operator ideals

Cobos, Fernando

  • Nonlinear Analysis, Function Spaces and Applications, Publisher: Czech Academy of Sciences, Mathematical Institute(Praha), page 93-118

Abstract

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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.

How to cite

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Cobos, Fernando. "Interpolation theory and measures related to operator ideals." Nonlinear Analysis, Function Spaces and Applications. Praha: Czech Academy of Sciences, Mathematical Institute, 1999. 93-118. <http://eudml.org/doc/220269>.

@inProceedings{Cobos1999,
abstract = {Given any operator ideal $\mathcal \{I\}$, there are two natural functionals $\gamma _\{\mathcal \{I\}\}(T)$, $\beta _\{\mathcal \{I\}\}(T)$ that one can use to show the deviation of the operator $T$ to the closed surjective hull of $\mathcal \{I\}$ and to the closed injective hull of $\mathcal \{I\}$, respectively. We describe the behaviour under interpolation of $\gamma _\{\mathcal \{I\}\}$ and $\beta _\{\mathcal \{I\}\}$. The results are part of joint works with A. Martínez, A. Manzano and P. Fernández-Martínez.},
author = {Cobos, Fernando},
booktitle = {Nonlinear Analysis, Function Spaces and Applications},
keywords = {Spring school; Proceedings; Nonlinear analysis; Function spaces; Prague (Czech Republic)},
location = {Praha},
pages = {93-118},
publisher = {Czech Academy of Sciences, Mathematical Institute},
title = {Interpolation theory and measures related to operator ideals},
url = {http://eudml.org/doc/220269},
year = {1999},
}

TY - CLSWK
AU - Cobos, Fernando
TI - Interpolation theory and measures related to operator ideals
T2 - Nonlinear Analysis, Function Spaces and Applications
PY - 1999
CY - Praha
PB - Czech Academy of Sciences, Mathematical Institute
SP - 93
EP - 118
AB - Given any operator ideal $\mathcal {I}$, there are two natural functionals $\gamma _{\mathcal {I}}(T)$, $\beta _{\mathcal {I}}(T)$ that one can use to show the deviation of the operator $T$ to the closed surjective hull of $\mathcal {I}$ and to the closed injective hull of $\mathcal {I}$, respectively. We describe the behaviour under interpolation of $\gamma _{\mathcal {I}}$ and $\beta _{\mathcal {I}}$. The results are part of joint works with A. Martínez, A. Manzano and P. Fernández-Martínez.
KW - Spring school; Proceedings; Nonlinear analysis; Function spaces; Prague (Czech Republic)
UR - http://eudml.org/doc/220269
ER -

References

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