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Mathematics_Beginner
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5 votes
2 answers
484 views

Does Sigma Algebra Necessarily Induce a Measure?

4 votes
4 answers
304 views

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

3 votes
0 answers
136 views

How should one study Graduate Mathematics with a weaker background?

3 votes
0 answers
97 views

Proof intuition of Positive Linear Operators are Bounded.

3 votes
0 answers
71 views

Isomorphism and Identification between Vector Spaces

3 votes
1 answer
74 views

Inequalities stated in the solution for Brezis Exercise 5.2

3 votes
1 answer
50 views

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

3 votes
0 answers
28 views

Proof Verification for Almost Uniform Convergence implies Convergence in Measure

2 votes
2 answers
53 views

When does Equality for this Classical Inequality Hold?

2 votes
1 answer
53 views

A Question on Brezis Functional Analysis Proposition 11.18.

1 vote
1 answer
40 views

Projection Operator Question in Brezis

1 vote
1 answer
88 views

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

1 vote
1 answer
87 views

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

1 vote
1 answer
67 views

Then Convex Conjugate is Lower Semi Continuous

1 vote
1 answer
92 views

Definition of Integrable Functions

1 vote
1 answer
94 views

Intuition on why Reflexive Spaces are Important

1 vote
1 answer
84 views

Products of Extended-Integrable Functions are Extended-Integrable

1 vote
2 answers
87 views

A Question on Epsilon-Delta Proofs in Measure Theory

1 vote
2 answers
69 views

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

1 vote
1 answer
71 views

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

1 vote
1 answer
86 views

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

1 vote
1 answer
57 views

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

1 vote
1 answer
52 views

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

1 vote
1 answer
32 views

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

1 vote
0 answers
44 views

Exercise 3.12 of Brezis: An Inequality involving Convex Conjugate

1 vote
1 answer
63 views

Brezis Exercise 3.12: Passing Conjugate into Inequalities

1 vote
1 answer
26 views

Cauchy in Measure Implies Subsequential Almost Uniform Convergence Confusion

0 votes
0 answers
41 views

The Span of a Countable Set is always Separable?

0 votes
0 answers
23 views

Brezis Exercise 3.29 on Uniform Convexity

0 votes
2 answers
32 views

Does Mollification Convergence in Lp still hold for Sequences?