User RandomWalker

7 votes

1 answer

95 views

If $E$ is Banach and $E^$ is its dual, is every $T:E^\rightarrow E^*$ an adjoint?

real-analysis functional-analysis

asked Jan 19, 2019 at 21:24

6 votes

2 answers

267 views

How to think intuitively about compact injections?

asked Sep 11, 2019 at 16:42

5 votes

1 answer

135 views

Understanding inequality in Keane's proof of the ergodic theorem

real-analysis measure-theory ergodic-theory

asked Nov 13, 2016 at 3:24

4 votes

1 answer

165 views

Let $E$ be a separable Banach space and $A$ an uncountable subset of the unit sphere. Does $A$ have accumulation point?

real-analysis functional-analysis

asked Aug 23, 2018 at 2:28

4 votes

0 answers

54 views

On the convergence of metric spaces

real-analysis differential-geometry metric-spaces riemannian-geometry

asked Nov 15, 2019 at 2:34

3 votes

2 answers

123 views

Is this space equivalent to the James space?

real-analysis functional-analysis banach-spaces normed-spaces

asked Apr 25, 2019 at 4:10

3 votes

1 answer

46 views

If $f \in L^1(\Bbb R)$, then $\{f(x+n)\}\rightarrow 0$ for almost every $x$ in $[0,1]$

real-analysis measure-theory

asked Nov 2, 2016 at 0:06

3 votes

1 answer

168 views

Using the martingale central limit theorem

probability-theory martingales central-limit-theorem

asked May 8, 2016 at 17:57

3 votes

2 answers

222 views

Events in a measure preserving system satisfying $\mu (A \cap T^{-n}B) = \mu(A)\mu(B)$ for all $n$ large imply $\mu(A) \in \{0,1\}$

probability ergodic-theory

asked Aug 30, 2016 at 21:50

3 votes

0 answers

50 views

Sequence not in Schreier space

real-analysis functional-analysis banach-spaces

asked Sep 4, 2019 at 23:16

2 votes

1 answer

409 views

Pushforward measure of composition

real-analysis measure-theory

asked Sep 28, 2016 at 22:36

2 votes

0 answers

307 views

Convergence of sum dependent random variables in $L^2$ with mean zero

probability-theory

asked Feb 5, 2016 at 0:44

2 votes

2 answers

153 views

When is the subspace of functions vanishing on a closed set complemented?

real-analysis functional-analysis banach-spaces

asked Aug 15, 2020 at 0:07

2 votes

1 answer

56 views

Let $B$ be a vector bundle over a compact metric space $X$. Is there always a linear bundle automorphism that covers $f \in \mbox{Homeo}(X)$?

real-analysis general-topology vector-bundles

asked Feb 13, 2019 at 2:19

1 vote

0 answers

40 views

Spectrum of a quotient map

real-analysis functional-analysis

asked Jun 2, 2019 at 21:39

1 vote

0 answers

62 views

Suppose that $F \subset E^*$ is total and $E$ is reflexive. Is $F$ norming?

real-analysis functional-analysis

asked Jul 31, 2019 at 1:32

1 vote

1 answer

49 views

Interpreting a question from topics in Banach space theory

real-analysis functional-analysis banach-spaces

asked Aug 16, 2019 at 5:04

1 vote

2 answers

116 views

Let $f: X \rightarrow X$ be a homeomorphism of a compact metric space. If the orbit of $x$ is compact, then $x$ is periodic

real-analysis dynamical-systems

asked Aug 24, 2018 at 2:54

1 vote

1 answer

50 views

Suppose that $f$ is integrable and for each Borel $A$ there is an $\alpha \in (0,1)$ and $c$ such that $\int_A|f(A)| \leq c m(A)^{\alpha}$

real-analysis measure-theory lp-spaces

asked Nov 1, 2016 at 3:23

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19 Questions

If $E$ is Banach and $E^$ is its dual, is every $T:E^\rightarrow E^*$ an adjoint?

How to think intuitively about compact injections?

Understanding inequality in Keane's proof of the ergodic theorem

Let $E$ be a separable Banach space and $A$ an uncountable subset of the unit sphere. Does $A$ have accumulation point?

On the convergence of metric spaces

Is this space equivalent to the James space?

If $f \in L^1(\Bbb R)$, then $\{f(x+n)\}\rightarrow 0$ for almost every $x$ in $[0,1]$

Using the martingale central limit theorem

Events in a measure preserving system satisfying $\mu (A \cap T^{-n}B) = \mu(A)\mu(B)$ for all $n$ large imply $\mu(A) \in \{0,1\}$

Sequence not in Schreier space

Pushforward measure of composition

Convergence of sum dependent random variables in $L^2$ with mean zero

When is the subspace of functions vanishing on a closed set complemented?

Let $B$ be a vector bundle over a compact metric space $X$. Is there always a linear bundle automorphism that covers $f \in \mbox{Homeo}(X)$?

Spectrum of a quotient map

Suppose that $F \subset E^*$ is total and $E$ is reflexive. Is $F$ norming?

Interpreting a question from topics in Banach space theory

Let $f: X \rightarrow X$ be a homeomorphism of a compact metric space. If the orbit of $x$ is compact, then $x$ is periodic

Suppose that $f$ is integrable and for each Borel $A$ there is an $\alpha \in (0,1)$ and $c$ such that $\int_A|f(A)| \leq c m(A)^{\alpha}$