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Let M$M$ be a closed subspace of $l^\infty$. Suppose that the Quotientquotient $l^{\infty}/M$ is isomorphic to $l^\infty$. Is it true that M$M$ is complemented in $l^\infty$  ?

Let M be a closed subspace of $l^\infty$. Suppose that the Quotient $l^{\infty}/M$ is isomorphic to $l^\infty$. Is it true that M is complemented in $l^\infty$  ?

Let $M$ be a closed subspace of $l^\infty$. Suppose that the quotient $l^{\infty}/M$ is isomorphic to $l^\infty$. Is it true that $M$ is complemented in $l^\infty$?

Corrected typo.
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Bill Johnson
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Quotientns Quotients of l^infty

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Quotientns of l^infty

Let M be a closed subspace of $l^\infty$. Suppose that the Quotient $l^{\infty}/M$ is isomorphic to $l^\infty$. Is it true that M is complemented in $l^\infty$ ?