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All Questions Answers
Score Newest
question
5
If $f_n \overset{\star}{\rightharpoonup} f$ in $\sigma(E^\star, E)$, then $\|f\| \le \liminf \|f_n\|$
Jan 26
question
4
Where does my proof of Milman-Pettis theorem break down?
Feb 13
question
4
A proof without using net in Brezis's Ex 3.14
Feb 24
question
4
Is the hypothesis $\mu \ge 0$ redundant in Brezis's Ex 3.15?
Feb 26
question
3
Is this a typo in Brezis's Ex 3.24?
Mar 5
question
3
It is still true that $\dim X \le \dim X^\star$ for infinite-dimensional Banach spaces if $\dim X < 2^{\aleph_0}$?
Feb 1
answer
3
If $x_n \rightharpoonup x$ and $|x_n| \to |x|$, then $x_n \to x$
Feb 16
question
2
Do Kakutani's, Helly's, and Goldstine's theorems all hold for general normed linear spaces?
Feb 1
question
2
If $E,F$ are reflexive Banach spaces, then the graphs of unbounded linear operators $A$ and $A''$ are isometrically isomorphic
Feb 2
question
2
The weak topology is compatible with the vector space structure
Jan 27

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