Question

Let $T$ be a Hermitian operator and $\|v\|=1$, prove $\langle T^2(v),v\rangle \ge\langle T(v),v\rangle^2$

score 118 · Answer 1 · 2026-04-16 06:31:32

118

Views

Let $T$ be a Hermitian operator and $\|v\|=1$, prove $\langle T^2(v),v\rangle \ge\langle T(v),v\rangle^2$

Published on 16 Apr 2026 - 6:31

score 52 · Answer 2 · 2026-04-14 04:26:52

52

Views

adjust vector to be orthgonal

Published on 14 Apr 2026 - 4:26

score 128 · Answer 3 · 2026-04-10 21:23:15

128

Views

Proof of Inner Product Inequality

Published on 10 Apr 2026 - 21:23

score 219 · Answer 4 · 2026-04-14 17:19:17

219

Views

proof that this is an isometric map (on a $C^*$-module)

Published on 14 Apr 2026 - 17:19

score 445 · Answer 5 · 2026-04-16 14:31:21

445

Views

Inner product space axiom

Published on 16 Apr 2026 - 14:31

score 254 · Answer 6 · 2026-04-14 19:54:21

254

Views

Does it make sense to talk about $L^2$ inner product of two functions not necessarily in $L^2$?

Published on 14 Apr 2026 - 19:54

score 943 · Answer 7 · 2026-04-15 07:06:01

943

Views

Does assigning a different inner product to a vector space in $\mathbb{R^n}$ change the meaning of the determinant on that space?

Published on 15 Apr 2026 - 7:06

score 4.2k · Answer 8 · 2026-04-11 04:12:43

4.2k

Views

Does an Inner Product Always Induce a Metric?

Published on 11 Apr 2026 - 4:12

score 173 · Answer 9 · 2026-04-13 03:41:06

173

Views

Hilbert spaces and orthogonality sets

Published on 13 Apr 2026 - 3:41

score 144 · Answer 10 · 2026-04-15 23:31:06

144

Views

Under what condition, $g_T(t)\cos(2\pi f_c t)$ and $g_T(t)\sin(2\pi f_c t)$ are orthogonal?

Published on 15 Apr 2026 - 23:31

score 1.4k · Answer 11 · 2026-04-15 19:00:21

1.4k

Views

Inner product on the vector space $p_2$ of polynomials of degree 2 or less

Published on 15 Apr 2026 - 19:00

score 77 · Answer 12 · 2026-04-13 15:29:32

77

Views

Showing a function is a norm.

Published on 13 Apr 2026 - 15:29

score 111 · Answer 13 · 2026-04-16 06:13:54

111

Views

Trying to show the differential operator $-e^{-x}\frac{d}{dx}(x\frac{df}{dx})$ is positive

Published on 16 Apr 2026 - 6:13

score 499 · Answer 14 · 2026-04-10 18:55:42

499

Views

what is $ M^{\perp}$ given set?

Published on 10 Apr 2026 - 18:55

score 1.2k · Answer 15 · 2026-04-11 08:23:23

1.2k

Views

Does bra-ket notation work for all inner product spaces?

Published on 11 Apr 2026 - 8:23

List Question

Let $T$ be a Hermitian operator and $\|v\|=1$, prove $\langle T^2(v),v\rangle \ge\langle T(v),v\rangle^2$

adjust vector to be orthgonal

Proof of Inner Product Inequality

proof that this is an isometric map (on a $C^*$-module)

Inner product space axiom

Does it make sense to talk about $L^2$ inner product of two functions not necessarily in $L^2$?

Does assigning a different inner product to a vector space in $\mathbb{R^n}$ change the meaning of the determinant on that space?

Does an Inner Product Always Induce a Metric?

Hilbert spaces and orthogonality sets

Under what condition, $g_T(t)\cos(2\pi f_c t)$ and $g_T(t)\sin(2\pi f_c t)$ are orthogonal?

Inner product on the vector space $p_2$ of polynomials of degree 2 or less

Showing a function is a norm.

Trying to show the differential operator $-e^{-x}\frac{d}{dx}(x\frac{df}{dx})$ is positive

what is $ M^{\perp}$ given set?

Does bra-ket notation work for all inner product spaces?

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