Question

Linear operator $T$ whose square is the average of $T$ and $T^*$

score 132 · Answer 1 · 2016-08-30 14:53:57

Linear operator $T$ whose square is the average of $T$ and $T^*$

Published on 30 Aug 2016 - 14:53

score 52 · Answer 2 · 2016-08-31 09:10:34

Prove/Disprove $\left\langle u,v\right\rangle=5\,u_{2}\,v_{2}+8\,u_{1}\,v_{2}+8\,v_{1}\,u_{2}+3\,u_{1}\,v_{1}$ is a inner product

score 70 · Answer 3 · 2016-08-31 18:33:38

70

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Prove equation with norm in inner product space

Published on 31 Aug 2016 - 18:33

score 142 · Answer 4 · 2026-03-25 19:07:21

142

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$V$ be a complex i.p.s. of dimension $n$ , $f(x) \in \mathcal P_{n-1}(\mathbb C)$ then $\exists $ linear operator $T$ on $V$ s.t. $T^*=f(T)$?

Published on 25 Mar 2026 - 19:07

score 106 · Answer 5 · 2016-09-02 17:54:51

106

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Definition of p-th Summable Sequences (the Sequence Spaces of l^p, with p=2)

Published on 02 Sep 2016 - 17:54

score 49 · Answer 6 · 2026-04-07 16:34:37

49

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Conditions on Orthogonal set of vectors

Published on 07 Apr 2026 - 16:34

score 25 · Answer 7 · 2016-09-10 13:09:39

25

Views

Norm computation inside a space

Published on 10 Sep 2016 - 13:09

score 32 · Answer 8 · 2016-09-11 10:56:54

32

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For which value t is this function a scalar product?

Published on 11 Sep 2016 - 10:56

score 1.1k · Answer 9 · 2026-04-04 23:00:19

1.1k

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Does this formula $\cos\theta=\frac{(u|v)}{|u||v|}$ work for a general inner product?

Published on 04 Apr 2026 - 23:00

score 210 · Answer 10 · 2016-09-13 20:11:43

210

Views

Describing all elements such that $||x+y||^2 = ||x||^2+||y||^2$

Published on 13 Sep 2016 - 20:11

score 254 · Answer 11 · 2016-09-13 21:09:23

254

Views

When does $||x+y|| = ||x||+||y||$

Published on 13 Sep 2016 - 21:09

score 74 · Answer 12 · 2016-09-14 05:47:19

74

Views

Inner product space criterion

Published on 14 Sep 2016 - 5:47

score 335 · Answer 13 · 2026-03-29 15:31:46

335

Views

How do i prove whether a vector is a symmetric matrix?

Published on 29 Mar 2026 - 15:31

score 540 · Answer 14 · 2016-09-14 18:44:34

540

Views

Show that if $\langle Tx,y \rangle = 0$ for all $x,y \in X$, then $T$ is the zero operator.

Published on 14 Sep 2016 - 18:44

score 107 · Answer 15 · 2016-09-15 03:47:49

107

Views

A problem on Inner Product Space and Commutator

Published on 15 Sep 2016 - 3:47

List Question

Linear operator $T$ whose square is the average of $T$ and $T^*$

Prove/Disprove $\left\langle u,v\right\rangle=5\,u_{2}\,v_{2}+8\,u_{1}\,v_{2}+8\,v_{1}\,u_{2}+3\,u_{1}\,v_{1}$ is a inner product

Prove equation with norm in inner product space

$V$ be a complex i.p.s. of dimension $n$ , $f(x) \in \mathcal P_{n-1}(\mathbb C)$ then $\exists $ linear operator $T$ on $V$ s.t. $T^*=f(T)$?

Definition of p-th Summable Sequences (the Sequence Spaces of l^p, with p=2)

Conditions on Orthogonal set of vectors

Norm computation inside a space

For which value t is this function a scalar product?

Does this formula $\cos\theta=\frac{(u|v)}{|u||v|}$ work for a general inner product?

Describing all elements such that $||x+y||^2 = ||x||^2+||y||^2$

When does $||x+y|| = ||x||+||y||$

Inner product space criterion

How do i prove whether a vector is a symmetric matrix?

Show that if $\langle Tx,y \rangle = 0$ for all $x,y \in X$, then $T$ is the zero operator.

A problem on Inner Product Space and Commutator

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