Question

For self-adjoint automorphism $T$, to what extent is $U \circ T \circ S$ equivalent to $U \circ S$?

score 32 · Answer 1 · 2026-03-25 22:06:13

32

Views

For self-adjoint automorphism $T$, to what extent is $U \circ T \circ S$ equivalent to $U \circ S$?

Published on 25 Mar 2026 - 22:06

score 93 · Answer 2 · 2026-04-10 13:35:13

93

Views

Brezis' Functional Analysis: the triplet $V \subset H \subset V^*$

Published on 10 Apr 2026 - 13:35

score 135 · Answer 3 · 2026-04-12 20:37:44

135

Views

Definition of tensor products of Hilbert spaces via orthonormal bases

Published on 12 Apr 2026 - 20:37

score 39 · Answer 4 · 2026-04-13 22:02:06

39

Views

Determine distance to a subspace of a Hilbert Space

Published on 13 Apr 2026 - 22:02

score 82 · Answer 5 · 2026-04-13 16:47:37

82

Views

The dual space of $V = \big \{ v : \sum_n n^2 |v_n|^2 < \infty \big \}$

Published on 13 Apr 2026 - 16:47

score 34 · Answer 6 · 2026-04-13 01:26:00

34

Views

Gelfand triple: an example where $\ell \neq i^* \circ j \circ i$

Published on 13 Apr 2026 - 1:26

score 161 · Answer 7 · 2026-04-03 12:35:54

161

Views

Showing that $\{\sqrt{2}\sin(\pi n x): n\in\mathbb{N}_0\}$ is an orthonormal basis for the space $L^2([0,1])$ given that $e^{2\pi il x}$ forms a basis

Published on 03 Apr 2026 - 12:35

score 86 · Answer 8 · 2026-04-11 22:43:54

86

Views

Can we prove Stampacchia theorem by Lax-Milgram theorem?

Published on 11 Apr 2026 - 22:43

score 134 · Answer 9 · 2026-04-13 16:56:22

134

Views

Two different formulations of Haar basis in $L^2(\mathbb R)$

Published on 13 Apr 2026 - 16:56

score 36 · Answer 10 · 2026-04-12 16:14:28

36

Views

limit property in a Hilbert space

Published on 12 Apr 2026 - 16:14

score 41 · Answer 11 · 2023-04-21 16:29:40

41

Views

Orthogonal projection: $|\varphi_n (x) - \pi (x)| \xrightarrow{n \to \infty} 0$ for all $x \in H$

Published on 21 Apr 2023 - 16:29

score 49 · Answer 12 · 2026-03-26 06:29:49

49

Views

Does the sum $\sum_{k=1}^n \pi_k$ of projection maps converges?

Published on 26 Mar 2026 - 6:29

score 53 · Answer 13 · 2026-03-28 05:59:28

53

Views

Discrete spectrum under a finite rank perturbation

Published on 28 Mar 2026 - 5:59

score 41 · Answer 14 · 2026-04-11 11:59:08

41

Views

Existence of laplacian imply existence of all the terms in its sum?

Published on 11 Apr 2026 - 11:59

score 77 · Answer 15 · 2026-04-13 01:12:33

77

Views

Is a subspace of a separable Hilbert space always a Borel set?

Published on 13 Apr 2026 - 1:12

List Question

For self-adjoint automorphism $T$, to what extent is $U \circ T \circ S$ equivalent to $U \circ S$?

Brezis' Functional Analysis: the triplet $V \subset H \subset V^*$

Definition of tensor products of Hilbert spaces via orthonormal bases

Determine distance to a subspace of a Hilbert Space

The dual space of $V = \big \{ v : \sum_n n^2 |v_n|^2 < \infty \big \}$

Gelfand triple: an example where $\ell \neq i^* \circ j \circ i$

Showing that $\{\sqrt{2}\sin(\pi n x): n\in\mathbb{N}_0\}$ is an orthonormal basis for the space $L^2([0,1])$ given that $e^{2\pi il x}$ forms a basis

Can we prove Stampacchia theorem by Lax-Milgram theorem?

Two different formulations of Haar basis in $L^2(\mathbb R)$

limit property in a Hilbert space

Orthogonal projection: $|\varphi_n (x) - \pi (x)| \xrightarrow{n \to \infty} 0$ for all $x \in H$

Does the sum $\sum_{k=1}^n \pi_k$ of projection maps converges?

Discrete spectrum under a finite rank perturbation

Existence of laplacian imply existence of all the terms in its sum?

Is a subspace of a separable Hilbert space always a Borel set?

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