2010•Banach Center PublicationsOpen access

An amalgamation of the Banach spaces associated with James and Schreier, Part I: Banach-space structure

Alistair Bird, Niels Jakob Laustsen

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Abstract

We create a new family of Banach spaces, the James–Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach

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We create a new family of Banach spaces, the James–Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach

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Available abstract

We create a new family of Banach spaces, the James–Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach

Key concepts: Banach space, Mathematics, Infinite-dimensional vector function, Banach manifold, Approximation property, Interpolation space, Reflexive space, Eberlein–Šmulian theorem

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