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First order quojections

First-order quojections
Authors: METAFUNE, Giorgio Gustavo Ermanno; Moscatelli V. B.;

First order quojections

Abstract

A quojection is a Fréchet space \(F\) which is the projective limit of a sequence of Banach spaces \(X_ n\) and surjective mappings \(R_ n: X_{n+1}\to X_ n\). A quojection is called twisted if it is not isomorphic to a product of Banach spaces. [For information about quojections see: the authors, Nato ASI Ser., Ser. C 287, 235-254 (1989; Zbl 0711.46008).] It is known that every quojection is a quotient of a countable product of Banach spaces [see \textit{J. Bonet}, \textit{M. Maestre}, the authors and \textit{D. Vogt}, ibid. 287, 355-356 (1989; Zbl 0711.46007)]. The present paper is devoted to investigation of twisted quojections which are quotients of products of Banach spaces by Banach subspaces.

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Italy
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Keywords

twisted quojections, quotients of products of Banach spaces by Banach subspaces, Fréchet space, Spaces defined by inductive or projective limits (LB, LF, etc.), complemented subspace, projective limit of a sequence of Banach spaces and surjective mappings

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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