A+ CATEGORY SCIENTIFIC UNIT

Une remarque sur les espaces d'interpolation $A^{\beta }$ qui sont faiblement LUR

Volume 123 / 2011

Mohammad Daher Colloquium Mathematicum 123 (2011), 197-204 MSC: Primary 46B70. DOI: 10.4064/cm123-2-3

Abstract

Let $(A_{0},A_{1})$ be a pair of interpolation spaces and $\beta \in \mathopen ] 0,1\mathclose [ .$ We show that if $(A^{\beta },n_{\beta })$ is a weakly-LUR space for a specific norm $n_{\beta }$ (equivalent to the natural one), then $A_{\theta }=A^{\theta }$ for every $\theta \in \mathopen ] 0,1\mathclose [ .$

Authors

  • Mohammad Daher32 rue Jaques Monod
    77350 Le Mée-sur-Seine, France
    e-mail

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