Question

A question on weakly convergent sequences in Hilbert spaces

score 388 · Answer 1 · 2026-04-11 09:23:56

388

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A question on weakly convergent sequences in Hilbert spaces

Published on 11 Apr 2026 - 9:23

score 135 · Answer 2 · 2026-04-11 21:59:15

135

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Condition for a set to be a complete orthonormal base of Hilbert space

Published on 11 Apr 2026 - 21:59

score 33 · Answer 3 · 2026-04-09 10:32:17

33

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Is $\{ w \in H : (h,w) = 0 \}$ a compact subset of $H$ for a fixed $h$?

Published on 09 Apr 2026 - 10:32

score 217 · Answer 4 · 2026-04-12 20:07:13

217

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Is $\|A^n\|=\|A\|^n$ true for any normal operator in a Hilbert space?

Published on 12 Apr 2026 - 20:07

score 418 · Answer 5 · 2026-04-11 01:13:41

418

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Question on difference between closedness and completeness of Hilbert spaces and subspaces of Hilbert spaces?

Published on 11 Apr 2026 - 1:13

score 242 · Answer 6 · 2026-04-11 06:41:56

242

Views

Looking for a NON-Symmetric Diagonal Linear Operator!!

Published on 11 Apr 2026 - 6:41

score 801 · Answer 7 · 2026-03-31 18:27:41

801

Views

Resolvent set of a bounded operator is open using OMT or Closed Graph Theorem

Published on 31 Mar 2026 - 18:27

score 72 · Answer 8 · 2026-04-01 16:27:47

72

Views

Does $Q_i\rightarrow 0$ implies that $P\vee Q_i\rightarrow P$?

Published on 01 Apr 2026 - 16:27

score 155 · Answer 9 · 2026-04-10 20:17:20

155

Views

A question on gaussian measure in Hilbert space

Published on 10 Apr 2026 - 20:17

score 174 · Answer 10 · 2026-03-31 18:33:38

174

Views

Can the level set of the resolvent norm be constant on a set of positive measure?

Published on 31 Mar 2026 - 18:33

score 184 · Answer 11 · 2026-04-12 14:48:10

184

Views

Continuous dual of Banach space embedded in Hilbert space

Published on 12 Apr 2026 - 14:48

score 73 · Answer 12 · 2026-03-25 14:25:17

73

Views

Is $QT=T|_{N(T)^{\perp}}$, for linear operator $T:H_1\to H_2$ and orthog0nal projection $Q: H_2\to \overline{R(T)}$?

Published on 25 Mar 2026 - 14:25

score 36 · Answer 13 · 2026-04-12 16:57:10

36

Views

Prove that there exists $a\in K$ and a unit vector $e \in H$ such that $(a,e)\leq (x,e)\leq (a,e)+\delta$ for all $x \in K$.

Published on 12 Apr 2026 - 16:57

score 104 · Answer 14 · 2017-03-19 15:53:05

104

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If $||f-g_n|| \to \inf_{g\in S} ||f-g||$ and $||g_n-g_0||\to 0 ,$then $ \inf_{g\in S}||f-g||=||f-g_0||$

Published on 19 Mar 2017 - 15:53

score 42 · Answer 15 · 2026-04-01 16:30:14

42

Views

Given two nets of projections $\{P_i\}$ and $\{Q_i\}$. Both of them tend to $0$. Do we have $P_i\vee Q_i \rightarrow_i 0$?

Published on 01 Apr 2026 - 16:30

List Question

A question on weakly convergent sequences in Hilbert spaces

Condition for a set to be a complete orthonormal base of Hilbert space

Is $\{ w \in H : (h,w) = 0 \}$ a compact subset of $H$ for a fixed $h$?

Is $\|A^n\|=\|A\|^n$ true for any normal operator in a Hilbert space?

Question on difference between closedness and completeness of Hilbert spaces and subspaces of Hilbert spaces?

Looking for a NON-Symmetric Diagonal Linear Operator!!

Resolvent set of a bounded operator is open using OMT or Closed Graph Theorem

Does $Q_i\rightarrow 0$ implies that $P\vee Q_i\rightarrow P$?

A question on gaussian measure in Hilbert space

Can the level set of the resolvent norm be constant on a set of positive measure?

Continuous dual of Banach space embedded in Hilbert space

Is $QT=T|_{N(T)^{\perp}}$, for linear operator $T:H_1\to H_2$ and orthog0nal projection $Q: H_2\to \overline{R(T)}$?

Prove that there exists $a\in K$ and a unit vector $e \in H$ such that $(a,e)\leq (x,e)\leq (a,e)+\delta$ for all $x \in K$.

If $||f-g_n|| \to \inf_{g\in S} ||f-g||$ and $||g_n-g_0||\to 0 ,$then $ \inf_{g\in S}||f-g||=||f-g_0||$

Given two nets of projections $\{P_i\}$ and $\{Q_i\}$. Both of them tend to $0$. Do we have $P_i\vee Q_i \rightarrow_i 0$?

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