Question

Show that with $||e||=1$ and $F=\{e\}^\perp$ then $P_Fh=h - \langle h,e\rangle e $

score 28 · Answer 1 · 2019-10-26 08:05:10

28

Views

Show that with $||e||=1$ and $F=\{e\}^\perp$ then $P_Fh=h - \langle h,e\rangle e $

Published on 26 Oct 2019 - 8:05

score 59 · Answer 2 · 2019-10-26 20:35:56

59

Views

Definite integral implies integrand is the same

Published on 26 Oct 2019 - 20:35

score 95 · Answer 3 · 2026-03-26 17:46:40

95

Views

Given a countable orthonormal set in a Hilbert Space, a convergent sequence in the span of the set implies convergence of coefficients.

Published on 26 Mar 2026 - 17:46

score 52 · Answer 4 · 2019-10-26 23:50:21

52

Views

Intersection over all numerical ranges (fields of values) over all scalar products equals convex hull of spectrum?

Published on 26 Oct 2019 - 23:50

score 29 · Answer 5 · 2019-10-27 02:09:19

29

Views

To check something is in $L^2$

Published on 27 Oct 2019 - 2:09

score 50 · Answer 6 · 2019-10-28 11:09:57

50

Views

Is $L^2(\mathbb{R}) \cong L^2([0, 2\pi))\otimes l^2(\mathbb{Z})$

Published on 28 Oct 2019 - 11:09

score 98 · Answer 7 · 2026-03-29 06:55:42

98

Views

Spectrum of diagonal blok operators

Published on 29 Mar 2026 - 6:55

score 170 · Answer 8 · 2019-10-29 15:07:18

170

Views

Find a vector in a Hilbert space, such that the inner product with a unit vector is $n^{-2/3}$

Published on 29 Oct 2019 - 15:07

score 109 · Answer 9 · 2026-03-26 17:31:15

109

Views

Is this a typo in an exercise about Hilbert spaces?

Published on 26 Mar 2026 - 17:31

score 165 · Answer 10 · 2026-03-30 06:31:23

165

Views

Operators unitarily equivalent to unilaterial shift on $\bigoplus_{k = -\infty}^{\infty} H_k$

Published on 30 Mar 2026 - 6:31

score 92 · Answer 11 · 2019-10-30 10:33:51

92

Views

Have I missed some information in this exercise?

Published on 30 Oct 2019 - 10:33

score 139 · Answer 12 · 2026-03-25 11:04:56

139

Views

Self - adjoint contraction operators on Hilbert spaces

Published on 25 Mar 2026 - 11:04

score 59 · Answer 13 · 2026-04-04 00:34:33

59

Views

Does convergence in $L^2$ imply convergence on $\mathbb R$?

Published on 04 Apr 2026 - 0:34

score 101 · Answer 14 · 2026-04-02 03:53:33

101

Views

Is $\mathcal C^1([a,b],\mathbb R)$ endowed with the $C^1$-norm a Hilbert space?

Published on 02 Apr 2026 - 3:53

score 36 · Answer 15 · 2026-03-26 17:33:36

36

Views

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

Published on 26 Mar 2026 - 17:33

List Question

Show that with $||e||=1$ and $F=\{e\}^\perp$ then $P_Fh=h - \langle h,e\rangle e $

Definite integral implies integrand is the same

Given a countable orthonormal set in a Hilbert Space, a convergent sequence in the span of the set implies convergence of coefficients.

Intersection over all numerical ranges (fields of values) over all scalar products equals convex hull of spectrum?

To check something is in $L^2$

Is $L^2(\mathbb{R}) \cong L^2([0, 2\pi))\otimes l^2(\mathbb{Z})$

Spectrum of diagonal blok operators

Find a vector in a Hilbert space, such that the inner product with a unit vector is $n^{-2/3}$

Is this a typo in an exercise about Hilbert spaces?

Operators unitarily equivalent to unilaterial shift on $\bigoplus_{k = -\infty}^{\infty} H_k$

Have I missed some information in this exercise?

Self - adjoint contraction operators on Hilbert spaces

Does convergence in $L^2$ imply convergence on $\mathbb R$?

Is $\mathcal C^1([a,b],\mathbb R)$ endowed with the $C^1$-norm a Hilbert space?

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

Trending Questions

Popular # Hahtags

Popular Questions