Pták's characterization of reflexivity in tensor products

Kamil John

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Displaying similar documents to “Pták's characterization of reflexivity in tensor products”

Further properties of Azimi-Hagler Banach spaces

Parviz Azimi, H. Khodabakhshian (2009)

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$w^{*}$ -basic sequences and reflexivity of Banach spaces

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We observe that a separable Banach space $X$ is reflexive iff each of its quotients with Schauder basis is reflexive. Similarly if $ℒ (X, Y)$ is not reflexive for reflexive $X$ and $Y$ then $ℒ (X_{1}, Y)$ is is not reflexive for some $X_{1} \subset X$ , $X_{1}$ having a basis.