Question

what is the cardinality (or algebraic dimension) of a hilbert space over a cardinal $\kappa$?

score 195 · Answer 1 · 2026-03-27 00:39:33

195

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what is the cardinality (or algebraic dimension) of a hilbert space over a cardinal $\kappa$?

Published on 27 Mar 2026 - 0:39

score 56 · Answer 2 · 2026-03-25 04:57:18

56

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Show that an operator with certain properties is an isomorphism

Published on 25 Mar 2026 - 4:57

score 95 · Answer 3 · 2019-02-19 05:23:26

95

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Converse of Spectral Theorem when initial operator is not bounded

Published on 19 Feb 2019 - 5:23

score 102 · Answer 4 · 2026-03-25 08:12:36

102

Views

Riesz representation theorem: Does the order matter?

Published on 25 Mar 2026 - 8:12

score 188 · Answer 5 · 2026-03-28 05:59:59

188

Views

Inner product with values in a finite field over space of finite functions

Published on 28 Mar 2026 - 5:59

score 264 · Answer 6 · 2019-02-20 15:01:50

264

Views

Find $a,b,c\in\mathbb{C}$, which minimize the value of the integral $\int_{-1}^1 |x^3-a-bx-cx^2|^2dx.$

Published on 20 Feb 2019 - 15:01

score 54 · Answer 7 · 2026-03-25 17:51:55

54

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Examples of Abelian Topological Groups

Published on 25 Mar 2026 - 17:51

score 94 · Answer 8 · 2019-02-20 16:00:22

94

Views

Let $\{x_1,\dots,x_n\}$ be a orthonormal set. For $x\in H$ the vector $x-\sum_{k=1}^n \langle x,x_k\rangle x_k$ is orthogonal to $x_k, \forall k$

Published on 20 Feb 2019 - 16:00

score 52 · Answer 9 · 2026-03-29 05:43:28

52

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Let $ \Omega = \{ x \in \mathbb{R} : | x | \leq 1 \} $. Show that the function $ v(x) = |x|^{\alpha} $ belong to $ H^1(\Omega) $ if $ \alpha > 0 $

Published on 29 Mar 2026 - 5:43

score 144 · Answer 10 · 2019-02-20 23:23:31

144

Views

Showing that this functional is unbounded

Published on 20 Feb 2019 - 23:23

score 890 · Answer 11 · 2019-02-22 08:32:38

890

Views

Chapter 3 Problem 23 Luenberger Optimization by vector space methods

Published on 22 Feb 2019 - 8:32

score 156 · Answer 12 · 2026-03-25 15:58:42

156

Views

To show that the given bounded linear operator is the zero operator

Published on 25 Mar 2026 - 15:58

score 76 · Answer 13 · 2026-02-23 04:55:09

76

Views

Interior solution of a Variational Inequality in Hilbert Space

Published on 23 Feb 2026 - 4:55

score 70 · Answer 14 · 2026-03-25 20:35:57

70

Views

Showing that $\exists x \in H : \|A(x)\| = \|A\|_\mathcal{L}$ if $H$ is Hilbert and $A \in \mathcal{L}_c(X,Y)$.

Published on 25 Mar 2026 - 20:35

score 382 · Answer 15 · 2026-03-23 07:42:16

382

Views

Operator norm of integral operator

Published on 23 Mar 2026 - 7:42

List Question

what is the cardinality (or algebraic dimension) of a hilbert space over a cardinal $\kappa$?

Show that an operator with certain properties is an isomorphism

Converse of Spectral Theorem when initial operator is not bounded

Riesz representation theorem: Does the order matter?

Inner product with values in a finite field over space of finite functions

Find $a,b,c\in\mathbb{C}$, which minimize the value of the integral $\int_{-1}^1 |x^3-a-bx-cx^2|^2dx.$

Examples of Abelian Topological Groups

Let $\{x_1,\dots,x_n\}$ be a orthonormal set. For $x\in H$ the vector $x-\sum_{k=1}^n \langle x,x_k\rangle x_k$ is orthogonal to $x_k, \forall k$

Let $ \Omega = \{ x \in \mathbb{R} : | x | \leq 1 \} $. Show that the function $ v(x) = |x|^{\alpha} $ belong to $ H^1(\Omega) $ if $ \alpha > 0 $

Showing that this functional is unbounded

Chapter 3 Problem 23 Luenberger Optimization by vector space methods

To show that the given bounded linear operator is the zero operator

Interior solution of a Variational Inequality in Hilbert Space

Showing that $\exists x \in H : \|A(x)\| = \|A\|_\mathcal{L}$ if $H$ is Hilbert and $A \in \mathcal{L}_c(X,Y)$.

Operator norm of integral operator

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