Question

Show for isometry $T:V \rightarrow V$, $\frac{1}{n}\sum_{i=0}^{n-1} T^i$ converges to the orthogonal projection on $ker(T-I)$.

score 226 · Answer 1 · 2026-03-25 23:58:40

226

Views

Show for isometry $T:V \rightarrow V$, $\frac{1}{n}\sum_{i=0}^{n-1} T^i$ converges to the orthogonal projection on $ker(T-I)$.

Published on 25 Mar 2026 - 23:58

score 1k · Answer 2 · 2019-10-20 16:43:16

1k

Views

Project rotation matrix to closest rotation matrix on a specific plane

Published on 20 Oct 2019 - 16:43

score 104 · Answer 3 · 2026-03-25 09:40:52

104

Views

Perpendicular of subset within orthogonal complement

Published on 25 Mar 2026 - 9:40

score 353 · Answer 4 · 2019-10-22 06:26:27

353

Views

Are projections of linear independent vector on a plane also linearly independent

Published on 22 Oct 2019 - 6:26

score 173 · Answer 5 · 2019-10-23 13:40:59

173

Views

Principal components analysis (dimensionality reduction)

Published on 23 Oct 2019 - 13:40

score 164 · Answer 6 · 2019-10-23 17:01:33

164

Views

Determine which vector is closer to a plane by looking at projections.

Published on 23 Oct 2019 - 17:01

score 38 · Answer 7 · 2019-10-29 20:32:07

38

Views

Convergence of fixed-point iteration despite projection to hypercube

Published on 29 Oct 2019 - 20:32

score 108 · Answer 8 · 2019-10-29 21:21:18

108

Views

Is this a typo in an exercise about Hilbert spaces?

Published on 29 Oct 2019 - 21:21

score 54 · Answer 9 · 2019-10-29 23:56:10

54

Views

Norm of a vector resulted from Orthogonal Projection

Published on 29 Oct 2019 - 23:56

score 491 · Answer 10 · 2019-10-30 07:09:46

491

Views

Find the "half projection"

Published on 30 Oct 2019 - 7:09

score 35 · Answer 11 · 2019-10-30 21:32:36

35

Views

Let $T_x$ be the orthogonal projection of $x$ on $K$. Prove that $T_x = -T_{-x}$

Published on 30 Oct 2019 - 21:32

score 56 · Answer 12 · 2019-10-31 23:35:04

56

Views

Is this a typo in an exercise about Hilbert space?

Published on 31 Oct 2019 - 23:35

score 39 · Answer 13 · 2019-11-04 15:17:51

39

Views

Searching for projection in $L^2[0,1]$

Published on 04 Nov 2019 - 15:17

score 56 · Answer 14 · 2019-11-12 00:00:06

56

Views

Find multiple transformation matrices

Published on 12 Nov 2019 - 0:00

score 26 · Answer 15 · 2019-11-12 20:45:55

26

Views

Linear Algebra Find Matrix that satisfies the proposition

Published on 12 Nov 2019 - 20:45

List Question

Show for isometry $T:V \rightarrow V$, $\frac{1}{n}\sum_{i=0}^{n-1} T^i$ converges to the orthogonal projection on $ker(T-I)$.

Project rotation matrix to closest rotation matrix on a specific plane

Perpendicular of subset within orthogonal complement

Are projections of linear independent vector on a plane also linearly independent

Principal components analysis (dimensionality reduction)

Determine which vector is closer to a plane by looking at projections.

Convergence of fixed-point iteration despite projection to hypercube

Is this a typo in an exercise about Hilbert spaces?

Norm of a vector resulted from Orthogonal Projection

Find the "half projection"

Let $T_x$ be the orthogonal projection of $x$ on $K$. Prove that $T_x = -T_{-x}$

Is this a typo in an exercise about Hilbert space?

Searching for projection in $L^2[0,1]$

Find multiple transformation matrices

Linear Algebra Find Matrix that satisfies the proposition

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