List questions from schauder-basis

Published on 18 Mar 2026 - 16:10

1.1k

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An orthogonal basis of a Hilbert space is Schauder?

Published on 17 Mar 2026 - 16:26

54

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Solving equation with orthonormal basis in it

Published on 22 Mar 2026 - 15:38

354

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Is a Reproducing Kernel Hilbert Space just a Hilbert space equipped with an "indexed basis"?

Published on 17 Mar 2026 - 6:35

965

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Schauder basis that is not Hilbert basis

Published on 22 Mar 2026 - 15:42

57

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Interchangability of arbitrary sums and linear operator

Published on 19 Mar 2026 - 0:54

98

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Is the Unit ball of $X^{**} $ weak*- sequentially compact?

Published on 22 Mar 2026 - 18:37

101

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$f_k := e_k + e_{k+1}$ complete, but $e_1 \neq \sum_{k=1}^{\infty} \alpha_k f_k$ for any $\alpha_k$

Published on 25 Mar 2026 - 1:20

62

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Is the sequence $\{\frac{1}{n}e_n\}_{n \in \mathbb{N}}$ a Schauder basis of $\ell^2$ over $\mathbb{C}$

Published on 19 Mar 2026 - 13:27

48

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Basic for a specific function space

Published on 21 Mar 2026 - 23:43

85

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Schauder basis under isometry.

Published on 22 Mar 2026 - 5:43

207

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A basis in the space of all tempered distributions over $\mathbb{R}^n$

Published on 25 Mar 2026 - 1:37

84

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Unconditional constant vs Suppression unconditional constant

Published on 25 Mar 2026 - 1:33

77

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normed space which posses a countable algebraic basis that a Banach space cannot posses such a basis

Published on 25 Mar 2026 - 1:36

97

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(Weak) basis for the space of bounded sequences

Published on 25 Mar 2026 - 1:35

List Question

Does every (non-separable) Hilbert space have the approximation property?

An orthogonal basis of a Hilbert space is Schauder?

Solving equation with orthonormal basis in it

Is a Reproducing Kernel Hilbert Space just a Hilbert space equipped with an "indexed basis"?

Schauder basis that is not Hilbert basis

Interchangability of arbitrary sums and linear operator

Is the Unit ball of $X^{**} $ weak*- sequentially compact?

$f_k := e_k + e_{k+1}$ complete, but $e_1 \neq \sum_{k=1}^{\infty} \alpha_k f_k$ for any $\alpha_k$

Is the sequence $\{\frac{1}{n}e_n\}_{n \in \mathbb{N}}$ a Schauder basis of $\ell^2$ over $\mathbb{C}$

Basic for a specific function space

Schauder basis under isometry.

A basis in the space of all tempered distributions over $\mathbb{R}^n$

Unconditional constant vs Suppression unconditional constant

normed space which posses a countable algebraic basis that a Banach space cannot posses such a basis

(Weak) basis for the space of bounded sequences

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