Question

Showing that $\{\varphi_{m,n} \}_{m \geq 1, n \geq 1}$ is an orthonormal basis for $L^2((a,b) \times (a,b)).$

score 43 · Answer 1 · 2023-05-26 07:58:12

43

Views

Showing that $\{\varphi_{m,n} \}_{m \geq 1, n \geq 1}$ is an orthonormal basis for $L^2((a,b) \times (a,b)).$

Published on 26 May 2023 - 7:58

score 56 · Answer 2 · 2023-06-12 08:31:03

56

Views

Is a sequence in a Hilbert space that forms biorthogonal with a Schauder basis also a Schauder basis?

Published on 12 Jun 2023 - 8:31

score 52 · Answer 3 · 2023-07-03 12:38:36

52

Views

Set of uniqueness of a harmonic series

Published on 03 Jul 2023 - 12:38

score 120 · Answer 4 · 2023-07-08 19:13:53

120

Views

Find subset of vectors which form basis

Published on 08 Jul 2023 - 19:13

score 77 · Answer 5 · 2023-09-12 20:48:37

77

Views

Notion of a basis that allows infinite sums

Published on 12 Sep 2023 - 20:48

score 144 · Answer 6 · 2023-10-25 15:33:52

144

Views

Compactly supported orthonormal basis of $L^2(\mathbf R)$ with certain properties

Published on 25 Oct 2023 - 15:33

score 58 · Answer 7 · 2023-11-11 20:26:44

58

Views

In a Hilbert space $\mathbb{H}$, find a complete and linearly independent sequence $(x_k)$ which is not a Schauder basis.

Published on 11 Nov 2023 - 20:26

score 32 · Answer 8 · 2023-11-27 16:48:02

32

Views

Must the vector vi coordinates with respect to the Schauder basis $e_1, e_2, e_3, ..., e_n$,necessarily approach zero as i increases to infinity?

Published on 27 Nov 2023 - 16:48

score 35 · Answer 9 · 2023-11-30 20:01:49

35

Views

Limit operations and Schauder combinations

Published on 30 Nov 2023 - 20:01

score 51 · Answer 10 · 2023-12-24 01:41:03

51

Views

Counting, tracking/organizing Schauder Basis for Infinite-Dimensional Spaces?

Published on 24 Dec 2023 - 1:41

score 907 · Answer 11 · 2024-02-15 13:18:30

907

Views

Example of a point that is not the limit of any sequence in a connected topological space

Published on 15 Feb 2024 - 13:18

score 171 · Answer 12 · 2024-02-17 12:08:09

171

Views

Are $(x_n-x_{n-1})$ and $(x_1+...+x_n)$ Schauder basis?

Published on 17 Feb 2024 - 12:08

score 13 · Answer 13 · 2024-03-28 19:54:30

13

Views

basic sequence is equivalent to the unit vector basis of $C_0$

Published on 28 Mar 2024 - 19:54

score 152 · Answer 14 · 2015-02-21 12:07:44

152

Views

little question; nonseperable Hilbert spaces: what kind of basis...?

Published on 21 Feb 2015 - 12:07

score 2.3k · Answer 15 · 2015-04-15 10:38:13

2.3k

Views

Schauder basis for $c_0$

Published on 15 Apr 2015 - 10:38

List Question

Showing that $\{\varphi_{m,n} \}_{m \geq 1, n \geq 1}$ is an orthonormal basis for $L^2((a,b) \times (a,b)).$

Is a sequence in a Hilbert space that forms biorthogonal with a Schauder basis also a Schauder basis?

Set of uniqueness of a harmonic series

Find subset of vectors which form basis

Notion of a basis that allows infinite sums

Compactly supported orthonormal basis of $L^2(\mathbf R)$ with certain properties

In a Hilbert space $\mathbb{H}$, find a complete and linearly independent sequence $(x_k)$ which is not a Schauder basis.

Must the vector vi coordinates with respect to the Schauder basis $e_1, e_2, e_3, ..., e_n$,necessarily approach zero as i increases to infinity?

Limit operations and Schauder combinations

Counting, tracking/organizing Schauder Basis for Infinite-Dimensional Spaces?

Example of a point that is not the limit of any sequence in a connected topological space

Are $(x_n-x_{n-1})$ and $(x_1+...+x_n)$ Schauder basis?

basic sequence is equivalent to the unit vector basis of $C_0$

little question; nonseperable Hilbert spaces: what kind of basis...?

Schauder basis for $c_0$

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