Schauder bases and the bounded approximation property in separable Banach spaces
Jorge Mújica, Daniela Mariz Silva Vieira
Abstract
Jorge Mújica, Daniela Mariz Silva Vieira
Abstract
Let $E$ be a separable Banach space with the $\lambda$-bounded approximation property. We show that for each $\epsilon >0$ there is a Banach space $F$ with a Schauder basis such that $E$ is isometrically isomorphic to a $1$-complemented subspace of $F$ an
OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Let $E$ be a separable Banach space with the $\lambda$-bounded approximation property. We show that for each $\epsilon >0$ there is a Banach space $F$ with a Schauder basis such that $E$ is isometrically isomorphic to a $1$-complemented subspace of $F$ an
Key concepts: Mathematics, Banach space, Schauder basis, Separable space, Approximation property, Bounded function, Subspace topology, Property (philosophy)