User M.González

14 votes

1 answer

1k views

Quotients of $\ell_\infty$ by separable subspaces

asked Nov 15, 2013 at 7:50

12 votes

2 answers

552 views

Is there a Gelfand-Naimark-like characterization of group algebras $L_1(G)$?

asked Sep 15, 2015 at 15:36

12 votes

3 answers

1k views

Banach spaces $X$ with $\ell_2(X)$ not isomorphic to $L_2([0,1],X)$

asked Dec 2, 2015 at 10:41

11 votes

1 answer

457 views

Complemented subspaces in the dual of James' space $J$

asked Jan 14, 2016 at 16:33

11 votes

1 answer

1k views

Bounded operator on a normed space with empty spectrum

asked Nov 28, 2014 at 10:33

11 votes

0 answers

557 views

Subspaces and quotients in Banach space theory

asked Jun 12, 2015 at 10:36

9 votes

1 answer

1k views

Counterintuitive consequences of the Hahn-Banach theorem

asked Nov 5, 2014 at 16:21

9 votes

1 answer

223 views

On hereditarily reflexive Banach spaces

asked Jul 13, 2020 at 17:57

8 votes

0 answers

351 views

Ultrapowers of Banach spaces without the continuum hypothesis

asked Oct 10, 2013 at 7:08

8 votes

0 answers

940 views

On the classification of injective Banach spaces

asked Feb 6, 2014 at 16:12

7 votes

1 answer

1k views

Existence of injective operators with dense range

asked Feb 21, 2014 at 19:54

7 votes

0 answers

280 views

Complex interpolation of a Banach space and its antidual when the space has a basis

asked Oct 29, 2013 at 17:21

7 votes

1 answer

183 views

Self-dual Orlicz sequence spaces

asked Aug 9, 2021 at 11:56

6 votes

1 answer

226 views

Finite representability of $\ell_p$ in subspaces of $L_p(0,1)$

asked Mar 31 at 15:35

6 votes

1 answer

370 views

Reflexive subspaces of non-separable abstract $L_1$ spaces

asked Nov 27, 2014 at 10:43

6 votes

0 answers

175 views

Ultrapowers and complemented subspaces

asked Mar 30, 2014 at 10:06

6 votes

0 answers

531 views

Products of spaces containing no copies of $\ell_2(\Gamma)$

asked Apr 12, 2014 at 15:18

6 votes

2 answers

367 views

Subspaces of $\ell_p$ ($1<p<\infty$, $p\neq 2$) not isomorphic to $\ell_p$

asked Dec 7, 2019 at 19:48

5 votes

1 answer

180 views

Subsequences of an orthonormal basis generating a strongly embedded subspace in $L_2(0,1)$

asked Oct 18, 2019 at 14:44

5 votes

1 answer

108 views

Simultaneous near-best approximation with respect to two norms

asked Nov 30, 2016 at 11:44

5 votes

0 answers

133 views

Banach spaces admitting no proper quasi-affinity

asked Jun 13, 2014 at 15:13

5 votes

2 answers

169 views

Subprojective Orlicz sequence spaces

asked May 26, 2021 at 9:41

4 votes

1 answer

209 views

Does property (V) imply the Grothendieck property for dual Banach spaces?

asked May 3, 2022 at 12:39

4 votes

1 answer

148 views

The complement of $L_1(0,1)$ in $L_1(0,1)^{**}$

asked Sep 20, 2022 at 17:43

4 votes

0 answers

62 views

The embedding of a Banach lattice in an ultrapower

asked Oct 3, 2022 at 9:19

4 votes

0 answers

285 views

MOOC's courses on Functional analysis [closed]

asked Apr 27, 2020 at 8:14

4 votes

0 answers

473 views

$L_\infty(\mu)$ spaces non-isomorphic to a dual space

asked Jul 13, 2015 at 15:39

4 votes

1 answer

269 views

Copies of $c_0$ in $C[0,1]$ and disjoint sequences

asked Nov 16, 2019 at 11:46

4 votes

0 answers

163 views

Is this property an isomorphic characterization of $\ell_1(\Gamma)$?

asked May 21, 2018 at 16:35

3 votes

1 answer

150 views

Uncomplemented copies of $\ell_2$ in $L_p(0,1)$ for $2-\varepsilon<p<2$

asked Oct 13, 2016 at 15:42

Stack Exchange Network

44 Questions

Quotients of $\ell_\infty$ by separable subspaces

Is there a Gelfand-Naimark-like characterization of group algebras $L_1(G)$?

Banach spaces $X$ with $\ell_2(X)$ not isomorphic to $L_2([0,1],X)$

Complemented subspaces in the dual of James' space $J$

Bounded operator on a normed space with empty spectrum

Subspaces and quotients in Banach space theory

Counterintuitive consequences of the Hahn-Banach theorem

On hereditarily reflexive Banach spaces

Ultrapowers of Banach spaces without the continuum hypothesis

On the classification of injective Banach spaces

Existence of injective operators with dense range

Complex interpolation of a Banach space and its antidual when the space has a basis

Self-dual Orlicz sequence spaces

Finite representability of $\ell_p$ in subspaces of $L_p(0,1)$

Reflexive subspaces of non-separable abstract $L_1$ spaces

Ultrapowers and complemented subspaces

Products of spaces containing no copies of $\ell_2(\Gamma)$

Subspaces of $\ell_p$ ($1<p<\infty$, $p\neq 2$) not isomorphic to $\ell_p$

Subsequences of an orthonormal basis generating a strongly embedded subspace in $L_2(0,1)$

Simultaneous near-best approximation with respect to two norms

Banach spaces admitting no proper quasi-affinity

Subprojective Orlicz sequence spaces

Does property (V) imply the Grothendieck property for dual Banach spaces?

The complement of $L_1(0,1)$ in $L_1(0,1)^{**}$

The embedding of a Banach lattice in an ultrapower

MOOC's courses on Functional analysis [closed]

$L_\infty(\mu)$ spaces non-isomorphic to a dual space

Copies of $c_0$ in $C[0,1]$ and disjoint sequences

Is this property an isomorphic characterization of $\ell_1(\Gamma)$?

Uncomplemented copies of $\ell_2$ in $L_p(0,1)$ for $2-\varepsilon<p<2$