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Results tagged with fa.functional-analysis
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user 39218
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
1
vote
0
answers
178
views
Infinite dimensional quotients of L_1 by isomorphic subspaces
Let $M$ be a subspace of $L_1(0,1)$. If the subspace $M$ is isomorphic to $L_1(0,1)$ and complemented, then the quotient $L_1(0,1)/M$ is clearly non-reflexive if it is infinite dimensional. So as we …
3
votes
1
answer
379
views
Bidual of subspaces of $L_1$
Let $M$ be a subspace of $L_1[0,1]$ which is also isomorphic to $L_1[0,1]$. Is it true that $M^{**}$ is complemented in $(L_1[0,1])^{**}$?
CommunityBot
- 1
11
votes
1
answer
939
views
Quotients 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 $l^\infty$?
- 31.5k