Question

What is $\sum_k|\langle f,f_k\rangle|^2<\infty$ for all $f\in H$ a sufficient condition for a sequence to be a Bessel sequence?

score 138 · Answer 1 · 2018-05-25 12:03:19

138

Views

What is $\sum_k|\langle f,f_k\rangle|^2<\infty$ for all $f\in H$ a sufficient condition for a sequence to be a Bessel sequence?

Published on 25 May 2018 - 12:03

score 198 · Answer 2 · 2016-10-31 20:30:19

198

Views

If a frame has upper frame bound $B$, why does the synthesis operator $T$ satisfy $\|T\|\le \sqrt B$?

Published on 31 Oct 2016 - 20:30

score 9 · Answer 3 · 2023-04-13 06:16:08

In a frame, the closure of the intersection contains the closure of one sublocale intersect the other open sublocale

score 117 · Answer 4 · 2023-07-19 22:06:00

117

Views

Condition for maximal filter of a lattice to be completely prime

Published on 19 Jul 2023 - 22:06

score 50 · Answer 5 · 2023-08-27 08:21:09

50

Views

Names of definitions in frames/locales/topologies

Published on 27 Aug 2023 - 8:21

score 140 · Answer 6 · 2023-09-20 08:08:24

140

Views

Does sequence of monomials form a Frame in $L^2[0,1]$?

Published on 20 Sep 2023 - 8:08

score 36 · Answer 7 · 2024-01-10 21:18:03

36

Views

Finding the infimum of summable sequences in a decomposition

Published on 10 Jan 2024 - 21:18

score 118 · Answer 8 · 2015-03-13 18:47:03

118

Views

If $\{f_1,f_2,...\}$ a given frame, $T$ a bounded linear, prove that $(Tf,f)=\sum_{n=1}^\infty |(f,f_n)|^2$.

Published on 13 Mar 2015 - 18:47

score 134 · Answer 9 · 2015-03-25 10:00:48

134

Views

Infer $||Tf||^2\leq B^2 ||f||^2$ from frame definition.

Published on 25 Mar 2015 - 10:00

score 295 · Answer 10 · 2015-04-19 01:43:01

295

Views

A characterization of Bessel sequences in a Hilbert space

Published on 19 Apr 2015 - 1:43

score 551 · Answer 11 · 2015-04-22 14:07:19

551

Views

Is a Bessel sequence a frame sequence?

Published on 22 Apr 2015 - 14:07

score 302 · Answer 12 · 2015-06-02 20:59:29

302

Views

Do frame operators on finite dimensional Hilbert spaces have similar properties to infinite-dimensional ones?

Published on 02 Jun 2015 - 20:59

score 244 · Answer 13 · 2015-06-09 08:41:01

244

Views

Prove that $\{g_n\}$ is a frame if and only if frame operator is continuous and continuously invertible on its range.

Published on 09 Jun 2015 - 8:41

score 1.2k · Answer 14 · 2015-07-05 08:35:28

1.2k

Views

What are examples of frame operators?

Published on 05 Jul 2015 - 8:35

score 334 · Answer 15 · 2012-06-02 17:19:35

334

Views

What does a sequence being a Bessel sequence but not a frame mean?

Published on 02 Jun 2012 - 17:19

List Question

What is $\sum_k|\langle f,f_k\rangle|^2<\infty$ for all $f\in H$ a sufficient condition for a sequence to be a Bessel sequence?

If a frame has upper frame bound $B$, why does the synthesis operator $T$ satisfy $\|T\|\le \sqrt B$?

In a frame, the closure of the intersection contains the closure of one sublocale intersect the other open sublocale

Condition for maximal filter of a lattice to be completely prime

Names of definitions in frames/locales/topologies

Does sequence of monomials form a Frame in $L^2[0,1]$?

Finding the infimum of summable sequences in a decomposition

If $\{f_1,f_2,...\}$ a given frame, $T$ a bounded linear, prove that $(Tf,f)=\sum_{n=1}^\infty |(f,f_n)|^2$.

Infer $||Tf||^2\leq B^2 ||f||^2$ from frame definition.

A characterization of Bessel sequences in a Hilbert space

Is a Bessel sequence a frame sequence?

Do frame operators on finite dimensional Hilbert spaces have similar properties to infinite-dimensional ones?

Prove that $\{g_n\}$ is a frame if and only if frame operator is continuous and continuously invertible on its range.

What are examples of frame operators?

What does a sequence being a Bessel sequence but not a frame mean?

Trending Questions

Popular # Hahtags

Popular Questions