Question

Brezis' exercise 6.21.3: prove that there is $K_2 >0$ such that $K_2 d(u, N) \le p (u)$ for all $u \in V$

score 29 · Answer 1 · 2026-04-15 23:30:39

29

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Brezis' exercise 6.21.3: prove that there is $K_2 >0$ such that $K_2 d(u, N) \le p (u)$ for all $u \in V$

Published on 15 Apr 2026 - 23:30

score 97 · Answer 2 · 2026-04-14 07:06:08

97

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Compact operator in squence spaces $T(u) = \left(\sum_{k=1}^\infty \frac{u_k}{n+k}\right)_{n\in\mathbb{N}}$

Published on 14 Apr 2026 - 7:06

score 25 · Answer 3 · 2026-05-10 17:36:26

25

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How to show following is weakly sequentially compact.

Published on 10 May 2026 - 17:36

score 69 · Answer 4 · 2026-04-15 20:29:30

69

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Check a point if it is in the interior of $T(B)$ or not

Published on 15 Apr 2026 - 20:29

score 35 · Answer 5 · 2026-04-14 17:05:54

35

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Brezis' exercise 6.25(i): the existence of $M,P \in \mathcal L(E)$ such that $M \circ(I+K)=I-P$

Published on 14 Apr 2026 - 17:05

score 33 · Answer 6 · 2026-04-15 14:49:13

33

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Brezis' exercise 6.25(ii): the existence of $\widetilde M, \widetilde P \in \mathcal L(E)$ such that $(I+K) \circ \widetilde M = I-\widetilde P$

Published on 15 Apr 2026 - 14:49

score 91 · Answer 7 · 2026-04-11 20:21:26

91

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Proof of theorem 6.6 in Functional Analysis of Haim Brezis (Fredholm alternative)

Published on 11 Apr 2026 - 20:21

score 64 · Answer 8 · 2026-04-15 00:51:19

64

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Is $f\mapsto \int\limits_{\mathbb{R}^n} K(x,y)f(x)dy$ with kernel $K\in C(\mathbb{R}^n\times \mathbb{R}^n)$ compact?

Published on 15 Apr 2026 - 0:51

score 45 · Answer 9 · 2026-04-12 23:54:46

45

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Compact set in sequence of resolvet set of convergent sequence of linear and bounded operators

Published on 12 Apr 2026 - 23:54

score 62 · Answer 10 · 2026-04-10 04:11:19

62

Views

Compact operator on Hilbert space: clarification of Wikipedia article

Published on 10 Apr 2026 - 4:11

score 49 · Answer 11 · 2026-04-11 06:31:03

49

Views

Are Cauchy sequences for Hilbert space an expression of a compact (multiplication) operator?

Published on 11 Apr 2026 - 6:31

score 49 · Answer 12 · 2026-04-11 17:19:50

49

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Question on compactness of generator of unitary group

Published on 11 Apr 2026 - 17:19

score 36 · Answer 13 · 2026-04-12 14:18:47

36

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Existence of proper invariant subspaces for compact operators

Published on 12 Apr 2026 - 14:18

score 67 · Answer 14 · 2026-04-11 01:42:49

67

Views

Toeplitz Operators Generate Compacts

Published on 11 Apr 2026 - 1:42

score 94 · Answer 15 · 2026-03-26 04:53:31

94

Views

Norm of $Tf(x)=\int_{-\pi}^{\pi} \cos(x-y)f(y)\,dy$

Published on 26 Mar 2026 - 4:53

List Question

Brezis' exercise 6.21.3: prove that there is $K_2 >0$ such that $K_2 d(u, N) \le p (u)$ for all $u \in V$

Compact operator in squence spaces $T(u) = \left(\sum_{k=1}^\infty \frac{u_k}{n+k}\right)_{n\in\mathbb{N}}$

How to show following is weakly sequentially compact.

Check a point if it is in the interior of $T(B)$ or not

Brezis' exercise 6.25(i): the existence of $M,P \in \mathcal L(E)$ such that $M \circ(I+K)=I-P$

Brezis' exercise 6.25(ii): the existence of $\widetilde M, \widetilde P \in \mathcal L(E)$ such that $(I+K) \circ \widetilde M = I-\widetilde P$

Proof of theorem 6.6 in Functional Analysis of Haim Brezis (Fredholm alternative)

Is $f\mapsto \int\limits_{\mathbb{R}^n} K(x,y)f(x)dy$ with kernel $K\in C(\mathbb{R}^n\times \mathbb{R}^n)$ compact?

Compact set in sequence of resolvet set of convergent sequence of linear and bounded operators

Compact operator on Hilbert space: clarification of Wikipedia article

Are Cauchy sequences for Hilbert space an expression of a compact (multiplication) operator?

Question on compactness of generator of unitary group

Existence of proper invariant subspaces for compact operators

Toeplitz Operators Generate Compacts

Norm of $Tf(x)=\int_{-\pi}^{\pi} \cos(x-y)f(y)\,dy$

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