User Mathematics_Beginner

5 votes

2 answers

484 views

Does Sigma Algebra Necessarily Induce a Measure?

asked Dec 19, 2021 at 21:27

4 votes

4 answers

304 views

The Intuition of the Construction of a Non-Measurable Set (Vitali Set) on the Real Line

real-analysis measure-theory lebesgue-measure intuition

asked Jan 2 at 21:04

3 votes

0 answers

136 views

How should one study Graduate Mathematics with a weaker background?

soft-question self-learning education advice learning

asked Dec 6, 2021 at 22:57

3 votes

0 answers

97 views

Proof intuition of Positive Linear Operators are Bounded.

real-analysis functional-analysis proof-explanation intuition constructive-mathematics

asked Feb 9 at 5:31

3 votes

0 answers

71 views

Isomorphism and Identification between Vector Spaces

real-analysis functional-analysis convex-analysis intuition vector-space-isomorphism

asked Mar 22 at 2:40

3 votes

1 answer

74 views

Inequalities stated in the solution for Brezis Exercise 5.2

real-analysis functional-analysis inequality solution-verification proof-explanation

asked Apr 29 at 0:37

3 votes

1 answer

50 views

An Almost Everywhere Measurable Function is Not Almost Everywhere Equal to a Measurable Function

real-analysis measure-theory solution-verification measurable-functions measurable-sets

asked Jul 25 at 22:00

3 votes

0 answers

28 views

Proof Verification for Almost Uniform Convergence implies Convergence in Measure

real-analysis measure-theory convergence-divergence solution-verification alternative-proof

asked Jul 29 at 4:13

2 votes

2 answers

53 views

When does Equality for this Classical Inequality Hold?

real-analysis inequality solution-verification proof-writing alternative-proof

asked Apr 28 at 3:14

2 votes

1 answer

53 views

A Question on Brezis Functional Analysis Proposition 11.18.

real-analysis functional-analysis proof-explanation

asked Feb 10 at 21:13

1 vote

1 answer

40 views

Projection Operator Question in Brezis

real-analysis general-topology functional-analysis

asked Feb 21 at 3:56

1 vote

1 answer

88 views

Rudin's Proof for Countable union of Countable Sets are Countable.

real-analysis solution-verification set-theory

asked Feb 24 at 0:23

1 vote

1 answer

87 views

Spotting the logical error of "Image of empty set is empty"

real-analysis functions elementary-set-theory solution-verification

asked Dec 11, 2021 at 9:53

1 vote

1 answer

67 views

Then Convex Conjugate is Lower Semi Continuous

real-analysis functional-analysis continuity solution-verification alternative-proof

asked Mar 23 at 0:20

1 vote

1 answer

92 views

Definition of Integrable Functions

real-analysis integration measure-theory definition intuition

asked Mar 3 at 0:16

1 vote

1 answer

94 views

Intuition on why Reflexive Spaces are Important

real-analysis functional-analysis hilbert-spaces intuition reflexive-space

asked Mar 7 at 3:55

1 vote

1 answer

84 views

Products of Extended-Integrable Functions are Extended-Integrable

real-analysis integration functional-analysis measure-theory radon-nikodym

asked Mar 8 at 5:34

1 vote

2 answers

87 views

A Question on Epsilon-Delta Proofs in Measure Theory

measure-theory proof-explanation lp-spaces alternative-proof epsilon-delta

asked Dec 3, 2021 at 16:56

1 vote

2 answers

69 views

Open Set in $\mathbf{R}^n$ can be Covered by Countable Union of Compact Sets

real-analysis general-topology proof-explanation

asked Jan 4 at 22:27

1 vote

1 answer

71 views

Understanding the Proof for Properties of Mollifiers on Evan's PDE

real-analysis measure-theory partial-differential-equations

asked Jan 21 at 23:08

1 vote

1 answer

86 views

How are integrals of non-measurable functions defined in Folland? (Dominated Convergence Theorem)

real-analysis integration measure-theory lp-spaces almost-everywhere

asked Jun 25 at 5:24

1 vote

1 answer

57 views

Closed, Convex, Absorbing and Balanced Spaces contain a neighborhood of zero.

real-analysis functional-analysis solution-verification proof-explanation convex-analysis

asked Mar 25 at 5:11

1 vote

1 answer

52 views

A Space is Reflexive if its Image under the Canonical Injection is Reflexive?

real-analysis functional-analysis proof-explanation dual-spaces reflexive-space

asked Mar 28 at 20:15

1 vote

1 answer

32 views

Continuous from Strong to Weak Star Topology Can be Characterized as Sequence Continuity?

functional-analysis proof-explanation weak-convergence

asked Mar 30 at 1:34

1 vote

0 answers

44 views

Exercise 3.12 of Brezis: An Inequality involving Convex Conjugate

real-analysis functional-analysis solution-verification proof-explanation convex-analysis

asked Apr 3 at 18:29

1 vote

1 answer

63 views

Brezis Exercise 3.12: Passing Conjugate into Inequalities

real-analysis functional-analysis proof-explanation convex-analysis convexity-inequality

asked Apr 4 at 5:29

1 vote

1 answer

26 views

Cauchy in Measure Implies Subsequential Almost Uniform Convergence Confusion

real-analysis measure-theory convergence-divergence solution-verification almost-everywhere

asked Aug 6 at 3:29

0 votes

0 answers

41 views

The Span of a Countable Set is always Separable?

linear-algebra general-topology functional-analysis separable-spaces

asked Apr 5 at 1:05

0 votes

0 answers

23 views

Brezis Exercise 3.29 on Uniform Convexity

real-analysis functional-analysis solution-verification proof-explanation alternative-proof

asked Apr 7 at 20:56

0 votes

2 answers

32 views

Does Mollification Convergence in Lp still hold for Sequences?

real-analysis functional-analysis measure-theory convergence-divergence lp-spaces

asked Apr 15 at 2:08

Stack Exchange Network

current community

your communities

more stack exchange communities

61 Questions

Does Sigma Algebra Necessarily Induce a Measure?

The Intuition of the Construction of a Non-Measurable Set (Vitali Set) on the Real Line

How should one study Graduate Mathematics with a weaker background?

Proof intuition of Positive Linear Operators are Bounded.

Isomorphism and Identification between Vector Spaces

Inequalities stated in the solution for Brezis Exercise 5.2

An Almost Everywhere Measurable Function is Not Almost Everywhere Equal to a Measurable Function

Proof Verification for Almost Uniform Convergence implies Convergence in Measure

When does Equality for this Classical Inequality Hold?

A Question on Brezis Functional Analysis Proposition 11.18.

Projection Operator Question in Brezis

Rudin's Proof for Countable union of Countable Sets are Countable.

Spotting the logical error of "Image of empty set is empty"

Then Convex Conjugate is Lower Semi Continuous

Definition of Integrable Functions

Intuition on why Reflexive Spaces are Important

Products of Extended-Integrable Functions are Extended-Integrable

A Question on Epsilon-Delta Proofs in Measure Theory

Open Set in $\mathbf{R}^n$ can be Covered by Countable Union of Compact Sets

Understanding the Proof for Properties of Mollifiers on Evan's PDE

How are integrals of non-measurable functions defined in Folland? (Dominated Convergence Theorem)

Closed, Convex, Absorbing and Balanced Spaces contain a neighborhood of zero.

A Space is Reflexive if its Image under the Canonical Injection is Reflexive?

Continuous from Strong to Weak Star Topology Can be Characterized as Sequence Continuity?

Exercise 3.12 of Brezis: An Inequality involving Convex Conjugate

Brezis Exercise 3.12: Passing Conjugate into Inequalities

Cauchy in Measure Implies Subsequential Almost Uniform Convergence Confusion

The Span of a Countable Set is always Separable?

Brezis Exercise 3.29 on Uniform Convexity

Does Mollification Convergence in Lp still hold for Sequences?