Question

Does a set of 'm' linearly independent continuous functions constitute a Hilbert Space

score 77 · Answer 1 · 2014-09-10 14:20:38

77

Views

Does a set of 'm' linearly independent continuous functions constitute a Hilbert Space

Published on 10 Sep 2014 - 14:20

score 853 · Answer 2 · 2014-09-11 09:48:06

853

Views

Distance to a closed subspace of a Hilbert space in terms of inner product with the unit normal

Published on 11 Sep 2014 - 9:48

score 100 · Answer 3 · 2014-09-11 10:35:58

100

Views

Prove that the space P is a Hilbert Space.

Published on 11 Sep 2014 - 10:35

score 4.3k · Answer 4 · 2014-09-12 19:20:08

4.3k

Views

Operator norm and Hilbert Schmidt norm

Published on 12 Sep 2014 - 19:20

score 257 · Answer 5 · 2014-09-13 07:55:25

257

Views

Inner product in Besicovitch space

Published on 13 Sep 2014 - 7:55

score 25 · Answer 6 · 2014-09-14 16:38:51

25

Views

Show that the set $\{e^{\pm i (n-1/4)t}: n=\pm 1,\pm2,\pm3,\ldots\}$ is not a basis for $L^2[\pi,\pi]$

Published on 14 Sep 2014 - 16:38

score 91 · Answer 7 · 2026-03-26 22:19:17

91

Views

Compact Operator on Hilbert Space

Published on 26 Mar 2026 - 22:19

score 453 · Answer 8 · 2026-03-26 16:04:14

453

Views

Prove that T is compact

Published on 26 Mar 2026 - 16:04

score 167 · Answer 9 · 2014-09-15 18:32:22

167

Views

"Almost" Hilbert spaces

Published on 15 Sep 2014 - 18:32

score 369 · Answer 10 · 2014-09-16 12:58:50

369

Views

Problem 8 from chapter 4 ("Hilbert Spaces: An Introduction") of Stein and Shakarchi's Real Analysis

Published on 16 Sep 2014 - 12:58

score 1.2k · Answer 11 · 2014-09-16 18:22:33

1.2k

Views

Exercise 34 from chapter 4 ("Hilbert Spaces: An Introduction") of Stein & Shakarchi's "Real Analysis"

Published on 16 Sep 2014 - 18:22

score 149 · Answer 12 · 2014-09-16 22:34:23

149

Views

Are there any interesting Hilbert spaces that do not present as function spaces?

Published on 16 Sep 2014 - 22:34

score 1.2k · Answer 13 · 2014-09-17 09:00:14

1.2k

Views

Exercise 31 from chapter 4 ("Hilbert Spaces: An Introduction") of Stein & Shakarchi's "Real Analysis"

Published on 17 Sep 2014 - 9:00

score 540 · Answer 14 · 2014-09-18 09:02:06

540

Views

Inner Product in Hilbert Space

Published on 18 Sep 2014 - 9:02

score 40 · Answer 15 · 2014-09-18 13:50:38

40

Views

Extending mappings on simple tensors

Published on 18 Sep 2014 - 13:50

List Question

Does a set of 'm' linearly independent continuous functions constitute a Hilbert Space

Distance to a closed subspace of a Hilbert space in terms of inner product with the unit normal

Prove that the space P is a Hilbert Space.

Operator norm and Hilbert Schmidt norm

Inner product in Besicovitch space

Show that the set $\{e^{\pm i (n-1/4)t}: n=\pm 1,\pm2,\pm3,\ldots\}$ is not a basis for $L^2[\pi,\pi]$

Compact Operator on Hilbert Space

Prove that T is compact

"Almost" Hilbert spaces

Problem 8 from chapter 4 ("Hilbert Spaces: An Introduction") of Stein and Shakarchi's Real Analysis

Exercise 34 from chapter 4 ("Hilbert Spaces: An Introduction") of Stein & Shakarchi's "Real Analysis"

Are there any interesting Hilbert spaces that do not present as function spaces?

Exercise 31 from chapter 4 ("Hilbert Spaces: An Introduction") of Stein & Shakarchi's "Real Analysis"

Inner Product in Hilbert Space

Extending mappings on simple tensors

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