Question

Minimal orthogonal projections, and distances in Hilbert spaces.

score 470 · Answer 1 · 2026-03-26 06:21:12

470

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Minimal orthogonal projections, and distances in Hilbert spaces.

Published on 26 Mar 2026 - 6:21

score 101 · Answer 2 · 2026-04-12 16:13:14

101

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Whether certain projections can have overlapping ranges yet not commute

Published on 12 Apr 2026 - 16:13

score 120 · Answer 3 · 2017-02-28 07:40:54

120

Views

A linear space is dense in $L_2([0,1]^n)$

Published on 28 Feb 2017 - 7:40

score 305 · Answer 4 · 2026-04-10 01:45:51

305

Views

Orthonormal basis problem

Published on 10 Apr 2026 - 1:45

score 252 · Answer 5 · 2026-03-31 17:01:56

252

Views

$X$ is a Banach space, $T \in B(X)$ and $T^$ be its adjoint, show that $ \lVert Tx \rVert \geq \lVert (T^)^{-1}\rVert^{-1}\lVert x \rVert$

Published on 31 Mar 2026 - 17:01

score 736 · Answer 6 · 2026-04-12 05:22:54

736

Views

Example of compact sets in Hilbert spaces and exhaustion by compact set

Published on 12 Apr 2026 - 5:22

score 25 · Answer 7 · 2017-03-02 05:48:46

25

Views

$g_n \rightharpoonup g \implies T_{\phi}(g_n) \to T_{\phi} (g)$ ($T_\phi$ is bounded functional)

Published on 02 Mar 2017 - 5:48

score 156 · Answer 8 · 2017-03-02 15:27:34

156

Views

When do we have uniform directional derivatives of functions in Hilbert space?

Published on 02 Mar 2017 - 15:27

score 115 · Answer 9 · 2026-04-10 12:12:08

115

Views

Implicit Euler scheme for the Navier-Stokes equation and the Schauder fixed-point theorem

Published on 10 Apr 2026 - 12:12

score 53 · Answer 10 · 2026-04-12 18:34:43

53

Views

A problem of uniform convergence of a sequence of functions

Published on 12 Apr 2026 - 18:34

score 523 · Answer 11 · 2026-03-31 18:28:28

523

Views

Is $\lambda-R$ left invertible for the right shift operator $R$ and $|\lambda|<1$?

Published on 31 Mar 2026 - 18:28

score 112 · Answer 12 · 2026-04-10 20:53:53

112

Views

Passing to limit to obtain an identity (explain a text please)

Published on 10 Apr 2026 - 20:53

score 365 · Answer 13 · 2026-03-31 23:55:12

365

Views

Does the Lax-Milgram theorem hold for a coercive bilinear form $b$ with $|b(x,y)|\le C\left\|x\right\|^{\color{red}2}\left\|y\right\|$?

Published on 31 Mar 2026 - 23:55

score 2k · Answer 14 · 2026-04-11 11:57:46

2k

Views

Example of function in L2 but not in H1

Published on 11 Apr 2026 - 11:57

score 171 · Answer 15 · 2017-03-05 17:11:08

171

Views

Termwise differentiation in Hilbert space

Published on 05 Mar 2017 - 17:11

List Question

Minimal orthogonal projections, and distances in Hilbert spaces.

Whether certain projections can have overlapping ranges yet not commute

A linear space is dense in $L_2([0,1]^n)$

Orthonormal basis problem

$X$ is a Banach space, $T \in B(X)$ and $T^$ be its adjoint, show that $ \lVert Tx \rVert \geq \lVert (T^)^{-1}\rVert^{-1}\lVert x \rVert$

Example of compact sets in Hilbert spaces and exhaustion by compact set

$g_n \rightharpoonup g \implies T_{\phi}(g_n) \to T_{\phi} (g)$ ($T_\phi$ is bounded functional)

When do we have uniform directional derivatives of functions in Hilbert space?

Implicit Euler scheme for the Navier-Stokes equation and the Schauder fixed-point theorem

A problem of uniform convergence of a sequence of functions

Is $\lambda-R$ left invertible for the right shift operator $R$ and $|\lambda|<1$?

Passing to limit to obtain an identity (explain a text please)

Does the Lax-Milgram theorem hold for a coercive bilinear form $b$ with $|b(x,y)|\le C\left\|x\right\|^{\color{red}2}\left\|y\right\|$?

Example of function in L2 but not in H1

Termwise differentiation in Hilbert space

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