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1d
answered Does the pth James space Jp contain a norm-1 basic sequence domimated by l2? Equivalently, is there a noncompact operator from l2 into Jp?
1d
comment One-sided version of the Nakayama lemma?
@Mambo, yes, what is your doubt?
Apr
3
revised Are the weak* and the sequential weak* closures the same?
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Apr
3
revised Are the weak* and the sequential weak* closures the same?
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Apr
3
comment Are the weak* and the sequential weak* closures the same?
@user1952009 $\beta \mathbb{N}$ is the Stone-Cech compactification of the natural numbers; $C(\beta \mathbb{N})$ is the Banach space of continuous functions on $\beta \mathbb{N}$.
Apr
3
comment Are the weak* and the sequential weak* closures the same?
@user1952009, $\ell_\infty\cong C(\beta \mathbb{N})$. Then $X=\{\delta_n\colon n\in \mathbb{N}\}$. The closure of $X$ is just $\{\delta_x\colon x\in \beta \mathbb{N}\}$.
Apr
2
revised Are the weak* and the sequential weak* closures the same?
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Apr
2
comment Is $c_{00}$ closed in $(\ell^\infty,\|\cdot\|_∞)$
This is a correct statement that may serve as a very good hint for the OP. No reason for down-voting.
Apr
2
revised Are the weak* and the sequential weak* closures the same?
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Apr
2
answered Are the weak* and the sequential weak* closures the same?
Mar
31
revised Polish groups having finite covering dimension
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Mar
25
comment Computing norms in quotient space $l_\infty/c_0$
@LaurentDuval, I don't think as as this symbol is completely standard.
Mar
25
comment Quotients of $L_1$
math.stackexchange.com/questions/1538920/…
Mar
17
revised Vectors in a Hilbert space are countably supported with respect to any orthonormal basis
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Mar
17
revised Vectors in a Hilbert space are countably supported with respect to any orthonormal basis
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Mar
17
revised A space $X$ that contains a copy of $\ell_1$, does not contain a complemented copy of $\ell_1$, and whose dual is not weakly sequentially complete
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Mar
17
revised Vectors in a Hilbert space are countably supported with respect to any orthonormal basis
added 14 characters in body; edited tags; edited title
Mar
17
answered Vectors in a Hilbert space are countably supported with respect to any orthonormal basis
Mar
16
answered A space $X$ that contains a copy of $\ell_1$, does not contain a complemented copy of $\ell_1$, and whose dual is not weakly sequentially complete
Mar
16
revised Do dual Banach spaces admitting $c_0$ as a quotient contain complemented copies of $\ell_1$?
deleted 5 characters in body; edited title