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Sequentially Right Banach spaces of order p

Mahdi DehghaniMohammad B. DehghaniMohammad S. Moshtaghioun — 2020

Commentationes Mathematicae Universitatis Carolinae

We introduce and study two new classes of Banach spaces, the so-called sequentially Right Banach spaces of order p , and those defined by the dual property, the sequentially Right * Banach spaces of order p for 1 p . These classes of Banach spaces are characterized by the notions of L p -limited sets in the corresponding dual space and R p * subsets of the involved Banach space, respectively. In particular, we investigate whether the injective tensor product of a Banach space X and a reflexive Banach space...

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