Question

Inclusion of dual space: $X\subset Y \implies Y^\subset X^$

score 1.1k · Answer 1 · 2026-03-26 09:17:39

1.1k

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Inclusion of dual space: $X\subset Y \implies Y^\subset X^$

Published on 26 Mar 2026 - 9:17

score 707 · Answer 2 · 2019-07-26 11:25:27

707

Views

Is the space of squared integrable functions on a compact set separable?

Published on 26 Jul 2019 - 11:25

score 455 · Answer 3 · 2019-07-27 05:29:02

455

Views

Is a complex inner product linear or conjugate linear in the first argument?

Published on 27 Jul 2019 - 5:29

score 467 · Answer 4 · 2026-03-25 16:00:23

467

Views

If $\langle Tx, y \rangle=\langle x, Ty \rangle $ then $T$ is continuous

Published on 25 Mar 2026 - 16:00

score 29 · Answer 5 · 2019-07-28 15:11:00

29

Views

If $B$ is continuous, then there exists $T \in BL(\mathcal{H})$ so that $B(x,y)=\langle Tx,y\rangle $

Published on 28 Jul 2019 - 15:11

score 81 · Answer 6 · 2026-03-26 17:07:21

81

Views

Struggling with non-Hilbert adjoint operators on $\ell^{p}$

Published on 26 Mar 2026 - 17:07

score 60 · Answer 7 · 2026-03-26 04:31:32

60

Views

Explanation for short proof, compactness of linear operator

Published on 26 Mar 2026 - 4:31

score 7.9k · Answer 8 · 2019-07-31 17:21:25

7.9k

Views

Eigenvalues of tensor product of matrices : question about general properties

Published on 31 Jul 2019 - 17:21

score 80 · Answer 9 · 2019-07-31 19:47:49

80

Views

Is there a formulation of "generalized" eigenvectors?

Published on 31 Jul 2019 - 19:47

score 109 · Answer 10 · 2019-07-31 21:08:56

109

Views

Sequence of consecutive differences $x_{k+1}-x_k$ square summable implies bounded sequence $\{x_k\}_{k\in\mathbb{N}}$.

Published on 31 Jul 2019 - 21:08

score 197 · Answer 11 · 2019-08-02 19:08:24

197

Views

Verify that l²(I) is a Hilbert space

Published on 02 Aug 2019 - 19:08

score 31 · Answer 12 · 2019-08-04 12:17:01

31

Views

Is this a valid Hilbert space construction and logical deduction?

Published on 04 Aug 2019 - 12:17

score 115 · Answer 13 · 2019-08-04 21:18:30

115

Views

$s(t) = |\sum_{n=1}^{\infty} \int_{0}^{t} u_{n}(x) dx|^{2}$ is a polynomial

Published on 04 Aug 2019 - 21:18

score 28 · Answer 14 · 2019-08-04 23:04:21

28

Views

Find a sequence of elements $(x_n)$ in a Hilbert space converging weakly to $x$ with $\lim \inf_{n\rightarrow \infty} ||x_n|| > ||x||$

Published on 04 Aug 2019 - 23:04

score 163 · Answer 15 · 2019-08-06 00:08:54

163

Views

Relation between Separation of Variables and Tensor Products

Published on 06 Aug 2019 - 0:08

List Question

Inclusion of dual space: $X\subset Y \implies Y^\subset X^$

Is the space of squared integrable functions on a compact set separable?

Is a complex inner product linear or conjugate linear in the first argument?

If $\langle Tx, y \rangle=\langle x, Ty \rangle $ then $T$ is continuous

If $B$ is continuous, then there exists $T \in BL(\mathcal{H})$ so that $B(x,y)=\langle Tx,y\rangle $

Struggling with non-Hilbert adjoint operators on $\ell^{p}$

Explanation for short proof, compactness of linear operator

Eigenvalues of tensor product of matrices : question about general properties

Is there a formulation of "generalized" eigenvectors?

Sequence of consecutive differences $x_{k+1}-x_k$ square summable implies bounded sequence $\{x_k\}_{k\in\mathbb{N}}$.

Verify that l²(I) is a Hilbert space

Is this a valid Hilbert space construction and logical deduction?

$s(t) = |\sum_{n=1}^{\infty} \int_{0}^{t} u_{n}(x) dx|^{2}$ is a polynomial

Find a sequence of elements $(x_n)$ in a Hilbert space converging weakly to $x$ with $\lim \inf_{n\rightarrow \infty} ||x_n|| > ||x||$

Relation between Separation of Variables and Tensor Products

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