User M.González

14 votes

Injectivity implies surjectivity

answered Jul 4, 2017 at 18:49

13 votes

Accepted

Does every Banach space admit a continuous (not necessarily equivalent) strictly convex norm?

answered Jul 9, 2023 at 14:07

12 votes

Accepted

When is the closed unit ball in a smaller Banach space closed in a larger Banach space?

answered Nov 22, 2015 at 9:06

11 votes

Accepted

Weakly compact operators between Banach spaces

answered Dec 17, 2015 at 8:12

10 votes

Ideal of strictly singular operators

answered Jun 18, 2019 at 8:13

8 votes

Accepted

Existence of operator with certain properties

answered Nov 21, 2019 at 10:19

7 votes

Accepted

Are nuclear operators closed under extensions?

answered May 24, 2020 at 17:34

7 votes

Accepted

For which $f \in L^2([0,1])$ is $f^\perp \cap C^\infty$ dense in $f^\perp$?

answered May 23, 2014 at 14:13

7 votes

reflexive banach space

answered Mar 25, 2015 at 10:55

6 votes

When is it $C(X)$?

answered Feb 27, 2014 at 15:37

6 votes

Accepted

On hereditarily reflexive Banach spaces

answered Jul 15, 2020 at 10:45

5 votes

Is $\beta \mathbb{N}$ homeomorphic to its own square?

answered Aug 2, 2017 at 7:51

5 votes

Concrete example of non-norm-attaining bounded linear operator on disc algebra

answered Dec 8, 2022 at 8:20

4 votes

Self-dual normed spaces which are not Hilbert spaces

answered Oct 6 at 14:41

4 votes

Extracting subsequences in Banach spaces, along an ultrafilter?

answered Jul 8, 2016 at 7:43

4 votes

Is the "closedness of the image of operator" needed in the defintion of Fredholm operators?

answered Jul 16, 2016 at 12:36

4 votes

Bidual of subspaces of $L_1$

answered Sep 1, 2013 at 16:42

4 votes

Accepted

Example of measure of non-compactness

answered Sep 3, 2015 at 8:16

4 votes

Accepted

Sum of subspaces is closed iff inclination is positive

answered Nov 22, 2018 at 12:08

3 votes

Reference for invariance of essential spectrum under relatively compact perturbations

answered Mar 23, 2014 at 12:12

3 votes

Accepted

Unbounded Component of the Fredholm Domain

answered Apr 17, 2019 at 8:13

3 votes

Essential spectrum under perturbation

answered Aug 5, 2021 at 19:02

3 votes

Historical developement of analysis and partial differential equations (especially in the 20th century)

answered Oct 8, 2015 at 8:52

3 votes

Embedding of a Banach space in $\ell_\infty(\Gamma)$ with a subspace embedded in a copy of $\ell_\infty$

answered Jun 27 at 17:51

3 votes

$c_0(2^{\kappa})$ does not embed in $\ell_\infty(\kappa)$?

answered Nov 30, 2023 at 16:15

2 votes

Proof that the closed convex hull of a weakly convergent sequence has empty interior using properties of $c_0$?

answered May 20 at 15:58

2 votes

Accepted

Continuous depedence of the spectrum on elements

answered Mar 14, 2014 at 10:33

2 votes

Equality of spectra of products of operators

answered Feb 19, 2017 at 15:39

2 votes

Duals of ideals of operators between Banach spaces

answered Dec 23, 2017 at 11:12

2 votes

Accepted

Duals of ideals of operators between Banach spaces

answered Dec 26, 2017 at 16:28

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43 Answers

Injectivity implies surjectivity

Does every Banach space admit a continuous (not necessarily equivalent) strictly convex norm?

When is the closed unit ball in a smaller Banach space closed in a larger Banach space?

Weakly compact operators between Banach spaces

Ideal of strictly singular operators

Existence of operator with certain properties

Are nuclear operators closed under extensions?

For which $f \in L^2([0,1])$ is $f^\perp \cap C^\infty$ dense in $f^\perp$?

reflexive banach space

When is it $C(X)$?

On hereditarily reflexive Banach spaces

Is $\beta \mathbb{N}$ homeomorphic to its own square?

Concrete example of non-norm-attaining bounded linear operator on disc algebra

Self-dual normed spaces which are not Hilbert spaces

Extracting subsequences in Banach spaces, along an ultrafilter?

Is the "closedness of the image of operator" needed in the defintion of Fredholm operators?

Bidual of subspaces of $L_1$

Example of measure of non-compactness

Sum of subspaces is closed iff inclination is positive

Reference for invariance of essential spectrum under relatively compact perturbations

Unbounded Component of the Fredholm Domain

Essential spectrum under perturbation

Historical developement of analysis and partial differential equations (especially in the 20th century)

Embedding of a Banach space in $\ell_\infty(\Gamma)$ with a subspace embedded in a copy of $\ell_\infty$

$c_0(2^{\kappa})$ does not embed in $\ell_\infty(\kappa)$?

Proof that the closed convex hull of a weakly convergent sequence has empty interior using properties of $c_0$?

Continuous depedence of the spectrum on elements

Equality of spectra of products of operators

Duals of ideals of operators between Banach spaces

Duals of ideals of operators between Banach spaces