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- 34 votes cast
Jul
2 |
awarded | Curious |
Jan
28 |
awarded | Commentator |
Jan
28 |
comment |
realcompact space
Try Engelking's "General topology" (they are named "Hewitt spaces" therein). |
Jan
27 |
comment |
Showing a Banach space is reflexive
Every reflexive space is weakly sequentially complete, $C(K)$ spaces contain copies of $c_0$ which is not WSC (and this property is hereditary). |
Jan
18 |
awarded | Enthusiast |
Jan
10 |
accepted | Kadison-Singer problem in exotic Hilbert spaces |
Jan
10 |
comment |
Question about getting Review services
Hisanobu Shinya, since you presumably claim your result is correct, why didn't you choose any of the leading journals? |
Jan
10 |
asked | Kadison-Singer problem in exotic Hilbert spaces |
Jan
6 |
comment |
Non-super reflexive space
OK, thank you. I haven't spotted this paper. By the way, can we deduce from the fact $\ell_1$ is finitely representable in $X$ that $c_0$ is finitely representable in $X^*$? |
Jan
4 |
awarded | Supporter |
Jan
4 |
comment |
Non-super reflexive space
Dear Prof. Johnson. Thank you. I've been trying to find the papers with no success yet, but I'll try again. Let me ask then whether the answer to the second question is positive or negative. :) |
Jan
4 |
accepted | Non-super reflexive space |
Jan
4 |
asked | Non-super reflexive space |
Dec
31 |
awarded | Disciplined |
Dec
29 |
asked | Reflexive-saturated Banach spaces |
Dec
29 |
comment |
Ultrapowers of operators
Just out of curiosity, does the following hold for countably complete ultrafilters: $(X\oplus Y)_U \isom X_U \oplus Y_U$, $X,Y$ Banach spaces? |
Dec
22 |
accepted | Automatic continuity of the inverse map |
Dec
22 |
asked | Automatic continuity of the inverse map |
Dec
5 |
comment |
Quotients of Cantor cubes onto spaces
This is very clever, thank you. By the way, do you think is there any name for the following property (?) of a compact space: $X$ has (?) if for every surjection $s\colon X\to X$ there is a copy $Y$ of $X$ such that $s|_Y$ is injective (a homeomorphism onto its image). |
Dec
4 |
accepted | Quotients of Cantor cubes onto spaces |