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- W4244588315 abstract "Let $M$ be a closed subspace of a Banach space $X$ . We suppose that $M$ has the B.A.P. and that ${M^ bot }$ is complemented in ${X^*}$. Then, if $X/M$ has the B.A.P. (resp. the A.P.), the space $X$ has the same property. There are similar results if $M$ is an ${mathcal {L}_infty }$ space. If $X/M$ is an ${mathcal {L}_1}$ space, then $X$ has the B.A.P. if and only if $M$ has the B.A.P. We notice that the quotient algebra $L(H)/K(H)$ ( $H$ infinite-dimensional Hilbert space) does not have the A.P." @default.
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- W4244588315 date "1989-01-01" @default.
- W4244588315 modified "2023-09-27" @default.
- W4244588315 title "Three-Space Problems for the Approximation Properties" @default.
- W4244588315 doi "https://doi.org/10.2307/2046736" @default.
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