User Julian - Mathematics Stack Exchange

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6

votes

2

answers

379

views

Kernel of $T$ is closed iff $T$ is continuous

functional-analysis banach-spaces

jul 13 at 15:15 wildildildlife 2,850

6

votes

4

answers

189

views

Limit of $a_n$ is $0$ iff Limit of $a_n \sin(n t)$ is $0$ for all $t\in[0,1]$

real-analysis sequences-and-series

jul 7 at 2:01 Zarrax 19.7k

1

5

votes

1

answer

137

views

Closed not exact form on $\mathbb{R}^n\setminus\{0\}$

differential-geometry integration differential-topology differential-forms

jan 24 at 21:37 Micah 6,425

2

4

votes

1

answer

114

views

Range of bounded operator is of first category

real-analysis functional-analysis banach-spaces

may 7 at 15:25 Davide Giraudo 56.2k

4

votes

1

answer

96

views

Map bounded if composition is bounded

real-analysis functional-analysis banach-spaces

aug 7 at 19:17 Nate Eldredge 22.4k

1

4

votes

1

answer

93

views

Differentiation continuous iff domain is finite dimensional

real-analysis functional-analysis vector-spaces

jul 31 at 10:16 Davide Giraudo 56.2k

3

votes

1

answer

37

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Differentiability implies Lipschitz continuity

real-analysis functional-analysis

may 19 at 12:07 N.U. 835

1

3

votes

1

answer

62

views

Characteristic function as limit of integrals.

complex-analysis integration residue-calculus

jan 11 at 15:44 Fabian 10.7k

2

3

votes

1

answer

89

views

Proof that the spectrum of the Dirichlet Laplacian is discrete

hilbert-spaces sobolev-spaces spectral-theory mathematical-physics

dec 29 at 3:56 Tomás 3,942

3

votes

1

answer

93

views

Dense subspace of $\ell^2$

sequences-and-series functional-analysis hilbert-spaces

jul 12 at 21:53 Davide Giraudo 56.2k

3

votes

1

answer

212

views

Estimate for Operator Norm in Hilbert Space

functional-analysis hilbert-spaces operator-theory

jun 17 '12 at 10:41 Norbert 20.3k

2

votes

1

answer

33

views

Norm product inequality

functional-analysis banach-algebras

apr 29 at 14:10 Rasmus 9,458

2

votes

1

answer

107

views

“Probability” of a map being surjective

probability combinatorics

oct 21 at 11:08 Brian M. Scott 154k

1

2

votes

1

answer

51

views

Application of Banach Seperation theorem

functional-analysis hilbert-spaces

jul 14 at 22:08 Norbert 20.3k

2

votes

1

answer

56

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$a\mapsto \log\left(\lVert f\lVert_{1/a}\right)$ is a convex map

functional-analysis measure-theory inequality integration banach-spaces

jul 12 at 3:07 leo 2,695

2

votes

1

answer

91

views

Common factors of the ideals $(x - \zeta_p^k)$, $x \in \mathbb Z$, in $\mathbb Z[\zeta_p]$

algebraic-number-theory galois-theory

jun 28 at 2:24 Dylan Moreland 13.4k

2

votes

0

answers

91

views

Alternate proof for polynomial with minimal $L^{\infty}$-norm and leading coefficient 1

real-analysis functional-analysis

jun 4 '12 at 9:26 Julian 583

1

vote

0

answers

69

views

Integration on manifold, pullback

differential-geometry integration differential-topology

jan 29 at 1:00 Julian 583

1

vote

2

answers

73

views

$k$-th root of $f$ is holomorphic near zero $z_0$ of multiplicity $n$ iff $k$ divides $n$

complex-analysis

jun 26 at 22:05 Georges Elencwajg 44.8k

2

1

vote

1

answer

80

views

Uniqueness of ODE solution

differential-equations

may 31 '12 at 20:57 Robert Israel 86.4k

1

vote

0

answers

63

views

Operator Norm: Sequence of partial averages [duplicate]

functional-analysis

may 31 '12 at 8:26 Asaf Karagila 91k

0

votes

0

answers

41

views

Probability of a brownian motion leaving some area

probability stochastic-processes brownian-motion

jan 17 at 22:58 Julian 583

0

votes

0

answers

91

views

Chain rules for differential forms

differential-geometry pde mathematical-physics

oct 23 at 6:31 Julian 583

1

0

votes

0

answers

52

views

notation in matlab avoiding for loops

matlab

jun 9 '12 at 7:03 Julian 583

Julian

24 Questions