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earned this badge 86 times.
If the closed unit ball of Banach space has at least one extreme point, must the Banach space the be a dual space?
Awarded Feb 6, 2023 at 3:11
For which metric spaces is Gromov-Hausdorff distance actually achieved?
Awarded Nov 5, 2022 at 17:35
Nets and the Axiom of Choice
Awarded Aug 10, 2022 at 15:41
Quotients of $c_0$ that are complemented in $c_0$
Awarded Jun 18, 2022 at 15:32
What are some results in mathematics that have snappy proofs using model theory?
Awarded May 7, 2022 at 3:26
What (classes of) Banach spaces are known to have Schauder basis?
Awarded Sep 20, 2021 at 13:32
Why is Lebesgue integration taught using positive and negative parts of functions?
Awarded Aug 17, 2021 at 0:25
Strict topology between weak and norm topologies
Awarded Apr 20, 2021 at 7:47
Counterexample for the Open Mapping Theorem
Awarded Jan 3, 2021 at 13:30
Wildly discontinuous linear functionals
Awarded Oct 1, 2020 at 7:27
In infinite dimensions, is it possible that convergence of distances to a sequence always implies convergence of that sequence?
Awarded Aug 4, 2020 at 18:47
About Schauder Basis
Awarded Dec 14, 2019 at 23:45
Approximating operators on Banach spaces by bounded operators on a proper dense subspace
Awarded Dec 4, 2019 at 9:50
Surjectivity of operators on $\ell^\infty$
Awarded Feb 25, 2019 at 21:35
Characterization of Schur's property
Awarded Aug 3, 2018 at 8:10
Surjectivity of operators on $\ell^\infty$
Awarded Aug 1, 2018 at 0:55
Applications of Rademacher's Theorem
Awarded May 9, 2018 at 5:43
Separable bidual but nonseparable third dual
Awarded Nov 14, 2017 at 8:11
Best constant in comparison between Rademacher and gaussian averages?
Awarded Sep 6, 2017 at 10:35
Compact non-nuclear operators
Awarded Aug 21, 2017 at 13:37
Example of Banach spaces with non-unique uniform structures
Awarded May 9, 2017 at 13:45
What are some reasonable-sounding statements that are independent of ZFC?
Awarded Oct 24, 2015 at 3:38
$c_0$-direct sum of $\mathcal{K}(\mathcal{H})$
Awarded Oct 15, 2015 at 21:44
Non-probabilistic proof of the Johnson–Lindenstrauss lemma
Awarded Oct 6, 2015 at 5:49
reflexive banach space
Awarded Oct 6, 2015 at 5:49
Minimum space dimension to place n-points knowing pairwise distances
Awarded Jul 2, 2015 at 16:19
Hahn-Banach without Choice
Awarded Apr 21, 2015 at 0:37
Ultraweak topology on B(X): Is the map X\otimes X* -> B(X)* isometric?
Awarded Mar 4, 2015 at 8:49
Your favorite surprising connections in mathematics
Awarded Jan 13, 2015 at 10:33
Projections in Sobolev spaces
Awarded Jan 8, 2015 at 20:12
Projections onto $n$-codimensional subspaces of a Banach space: norms.
Awarded Jan 8, 2015 at 20:07
weak*-compactness of unit ball in equivalent norm
Awarded Jan 8, 2015 at 20:07
Non-Borel subspace of Banach space
Awarded Jan 8, 2015 at 20:07
Intuitive explanation of Dvoretzky's theorem
Awarded Dec 27, 2014 at 9:46
Unexpected applications of Dvoretzky's theorem
Awarded Dec 27, 2014 at 9:41
Is there a function defined on real numbers which is continuous from the left, but not from the right, everywhere
Awarded Nov 30, 2014 at 21:13
Uniformly Convex spaces
Awarded Oct 23, 2014 at 0:28
Almost orthogonal vectors
Awarded Oct 17, 2014 at 14:53
Quotients of $\ell_\infty$ by separable subspaces
Awarded Sep 14, 2014 at 19:14
Famous mathematical quotes
Awarded Aug 10, 2014 at 18:22
Example of sequences with different limits for two norms
Awarded Feb 27, 2014 at 23:15
A generalization of a theorem of Grothendieck
Awarded Feb 10, 2014 at 1:45
Is $L^p(\mathbb{R})$ minus the zero function contractible?
Awarded Jan 13, 2014 at 21:27
Containment of $c_0$
Awarded Jan 8, 2014 at 23:17
Are there proofs that you feel you did not "understand" for a long time?
Awarded Dec 9, 2013 at 16:26
Direct proof of injectivity of $L_\infty$
Awarded Nov 25, 2013 at 0:24
Quotients of l^infty
Awarded Oct 8, 2013 at 16:42
Usefulness of Frechet versus Gateaux differentiability or something in between.
Awarded Sep 23, 2013 at 17:48
Easy proof of the fact that isotropic spaces are Euclidean
Awarded Sep 14, 2013 at 17:09
L_p norm balls for 1<p<2 - is it always similar to an L_q norm ball for some q>2?
Awarded Jul 4, 2013 at 16:23
When is $A$ isomorphic to $A^3$?
Awarded Mar 13, 2013 at 12:35
Probabilistic proofs of analytic facts
Awarded Aug 25, 2012 at 23:05
How helpful is non-standard analysis?
Awarded May 2, 2012 at 13:50
Can a connected planar compactum minus a point be totally disconnected?
Awarded Apr 20, 2012 at 23:50
Approximation Property
Awarded Mar 25, 2012 at 0:50
Finding questions between functional analysis and set theory
Awarded Feb 13, 2012 at 2:20
Quick proofs of hard theorems
Awarded Jan 13, 2012 at 15:35
Why do we care about $L^p$ spaces besides $p = 1$, $p = 2$, and $p = \infty$?
Awarded Dec 22, 2011 at 1:20
Basis for L_infty(R)
Awarded Dec 17, 2011 at 7:05
prime ideals in C([0,1])
Awarded Dec 8, 2011 at 18:05
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