Question

Examples of non-unitary isometries on finite dimensional Hilbert spaces?

score 795 · Answer 1 · 2026-03-25 12:54:26

795

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Examples of non-unitary isometries on finite dimensional Hilbert spaces?

Published on 25 Mar 2026 - 12:54

score 88 · Answer 2 · 2026-03-30 03:53:51

88

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Computing the inner product $(\chi_{R},\chi_{R})$.

Published on 30 Mar 2026 - 3:53

score 1.2k · Answer 3 · 2026-03-25 20:59:53

1.2k

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Maximize inner product subject to constraint

Published on 25 Mar 2026 - 20:59

score 328 · Answer 4 · 2026-03-26 13:57:18

328

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Show that graph of operator with adjoint operator is closed

Published on 26 Mar 2026 - 13:57

score 91 · Answer 5 · 2019-03-14 04:42:45

91

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Assume $\langle v,s \rangle + \langle s,v \rangle \leq \langle s,s \rangle$

Published on 14 Mar 2019 - 4:42

score 331 · Answer 6 · 2026-03-26 06:18:55

331

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Triangle Inequality for Angles in Projective Space

Published on 26 Mar 2026 - 6:18

score 565 · Answer 7 · 2019-03-15 14:41:22

565

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Showing scalar product properties on certain matrix multiplication

Published on 15 Mar 2019 - 14:41

score 112 · Answer 8 · 2019-03-16 05:47:18

112

Views

Two inner products different by a scalar

Published on 16 Mar 2019 - 5:47

score 189 · Answer 9 · 2026-03-26 00:53:39

189

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What is the general form of an inner products in $\mathbb R^n$?

Published on 26 Mar 2026 - 0:53

score 133 · Answer 10 · 2019-03-17 20:20:24

133

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Prove that $W$ has dimension $n$ over $\mathbb{C}$, assuming that $V$ has dimension $n$ over $\mathbb{R}$.

Published on 17 Mar 2019 - 20:20

score 181 · Answer 11 · 2026-03-25 22:27:01

181

Views

$PQ = 0 \Leftrightarrow P(H) \bot Q(H)$ if $H$ is Hilbert and $P,Q$ orthogonal projections.

Published on 25 Mar 2026 - 22:27

score 1k · Answer 12 · 2019-03-18 10:44:16

1k

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With these definitions how do I prove that this inner product is positive-definite?

Published on 18 Mar 2019 - 10:44

score 236 · Answer 13 · 2019-03-18 20:09:06

236

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Real Inner Product Space, Hermitian Operator $T = S^{n}$ for n odd

Published on 18 Mar 2019 - 20:09

score 130 · Answer 14 · 2026-03-25 03:24:13

130

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Are there degrees or categories of orthogonality?

Published on 25 Mar 2026 - 3:24

score 78 · Answer 15 · 2019-03-21 21:17:19

78

Views

Normalizing dual eigenvectors? Why only for trivial defects?

Published on 21 Mar 2019 - 21:17

List Question

Examples of non-unitary isometries on finite dimensional Hilbert spaces?

Computing the inner product $(\chi_{R},\chi_{R})$.

Maximize inner product subject to constraint

Show that graph of operator with adjoint operator is closed

Assume $\langle v,s \rangle + \langle s,v \rangle \leq \langle s,s \rangle$

Triangle Inequality for Angles in Projective Space

Showing scalar product properties on certain matrix multiplication

Two inner products different by a scalar

What is the general form of an inner products in $\mathbb R^n$?

Prove that $W$ has dimension $n$ over $\mathbb{C}$, assuming that $V$ has dimension $n$ over $\mathbb{R}$.

$PQ = 0 \Leftrightarrow P(H) \bot Q(H)$ if $H$ is Hilbert and $P,Q$ orthogonal projections.

With these definitions how do I prove that this inner product is positive-definite?

Real Inner Product Space, Hermitian Operator $T = S^{n}$ for n odd

Are there degrees or categories of orthogonality?

Normalizing dual eigenvectors? Why only for trivial defects?

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