2003Studia MathematicaOpen access

The Maurey extension property for Banach spaces with the Gordon–Lewis property and related structures

Peter G. Casazza, N. J. Nielsen

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Abstract

The main result of this paper states that if a Banach space $X$ has the property that every bounded operator from an arbitrary subspace of $X$ into an arbitrary Banach space of cotype 2 extends to a bounded operator on $X$, then every operator from $X$ to

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What this paper is about

The main result of this paper states that if a Banach space $X$ has the property that every bounded operator from an arbitrary subspace of $X$ into an arbitrary Banach space of cotype 2 extends to a bounded operator on $X$, then every operator from $X$ to

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The main result of this paper states that if a Banach space $X$ has the property that every bounded operator from an arbitrary subspace of $X$ into an arbitrary Banach space of cotype 2 extends to a bounded operator on $X$, then every operator from $X$ to

Key concepts: Mathematics, Approximation property, Banach space, Finite-rank operator, Bounded operator, Operator space, Bounded function, Subspace topology

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