List questions from schauder-basis

Published on 31 Jan 2022 - 16:09

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Closed subspaces of separable Banach spaces with Schauder basis need not themselves have a Schauder basis?

Published on 04 Feb 2022 - 1:29

217

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Adjoint system associated to Schauder basis

Published on 08 Feb 2022 - 11:47

112

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Schauder decomposition of a Banach space E

Published on 23 Feb 2022 - 22:40

174

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How does one show a Schauder basis is shrinking?

Published on 09 Mar 2022 - 18:57

78

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Give a example to show that there not necessarily exist uniformly bounded linear funtionals $\{f_j\}$ such that $f_j(x_k)=\delta_{jk}$.

Published on 22 Mar 2022 - 6:29

196

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Orthonormal Basis of Bergman Space

Published on 24 Feb 2026 - 3:04

54

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prove that a space with a Schauder basis is separable, that is, it contains a countable dense subset.

Published on 22 Apr 2022 - 21:31

598

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Definition of Schauder basis

Published on 09 May 2022 - 20:44

41

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Is a Schauder basis countable

Published on 11 May 2022 - 22:55

47

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Schauder basis and convex combinations

Published on 14 May 2022 - 21:33

278

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Canonical basis in $l^{\infty}$

Published on 12 Jun 2022 - 13:42

34

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Weak p-summability of Schauder basis

Published on 06 Sep 2022 - 0:42

69

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Can we always construct a Schauder basis incorporating finite numbers of given linearly independent vectors?

Published on 23 Feb 2026 - 15:18

66

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Zero diagonal operators and Riesz bases

Published on 07 Sep 2022 - 12:46

List Question

Standard basis forms a Schauder basis for $\ell^p, p\in [1,\infty)$.

Closed subspaces of separable Banach spaces with Schauder basis need not themselves have a Schauder basis?

Adjoint system associated to Schauder basis

Schauder decomposition of a Banach space E

How does one show a Schauder basis is shrinking?

Give a example to show that there not necessarily exist uniformly bounded linear funtionals $\{f_j\}$ such that $f_j(x_k)=\delta_{jk}$.

Orthonormal Basis of Bergman Space

prove that a space with a Schauder basis is separable, that is, it contains a countable dense subset.

Definition of Schauder basis

Is a Schauder basis countable

Schauder basis and convex combinations

Canonical basis in $l^{\infty}$

Weak p-summability of Schauder basis

Can we always construct a Schauder basis incorporating finite numbers of given linearly independent vectors?

Zero diagonal operators and Riesz bases

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