List questions from schauder-basis

Published on 06 Aug 2021 - 16:47

265

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Every $\ell^p$ space with $p\ne 2$ has a subspace without a Schauder basis

Published on 07 Aug 2021 - 4:10

131

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Basisness of $|\sin(nx)|$ in $L^2(0, \pi/2)$

Published on 28 Aug 2021 - 6:54

74

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Orthonormal basis for Bergman Space

Published on 24 Feb 2026 - 3:02

75

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Compactness and Schauder basis

Published on 17 Sep 2021 - 7:21

64

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Schauder Basis on (non normed) Vector Space

Published on 28 Oct 2021 - 13:46

96

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what is the definition of the function u??

Published on 10 Nov 2021 - 0:34

154

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Frames in $L^2$.

Published on 17 Nov 2021 - 0:40

42

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When do integer dilations form a linearly independent set (or a basis)?

Published on 08 Dec 2021 - 16:51

154

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Conditions for a linearly independent sequence with dense linear span to be a Schauder basis for a Banach space

Published on 11 Dec 2021 - 9:48

88

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A subsymmetric basic sequence that is not weakly null is seminormalised

Published on 15 Dec 2021 - 2:35

79

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Subsequences of Basis

Published on 24 Dec 2021 - 22:22

57

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Basic subsequence of weak* convergent sequence

Published on 26 Dec 2021 - 21:00

116

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The set of vectors {a, b, c} is a basis of R³. Determine if another set, {3a-2b, a+4b+5c, a-2c}, is also a basis of R³.

Published on 14 Jan 2022 - 10:56

73

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Prove $\sup_{1 \leq n < \infty} \|\sum_{i=1}^n \alpha_i x_i\| \leq \lim_{n \rightarrow \infty} \sup_{1 \leq k \leq n} \|\sum_{i=1}^k \alpha_i x_i\|$

Published on 28 Jan 2022 - 1:08

List Question

Schauder basis in $L^2([0,1] \times [0,1], \mathbb{R}^2)$

Every $\ell^p$ space with $p\ne 2$ has a subspace without a Schauder basis

Basisness of $|\sin(nx)|$ in $L^2(0, \pi/2)$

Orthonormal basis for Bergman Space

Compactness and Schauder basis

Schauder Basis on (non normed) Vector Space

what is the definition of the function u??

Frames in $L^2$.

When do integer dilations form a linearly independent set (or a basis)?

Conditions for a linearly independent sequence with dense linear span to be a Schauder basis for a Banach space

A subsymmetric basic sequence that is not weakly null is seminormalised

Subsequences of Basis

Basic subsequence of weak* convergent sequence

The set of vectors {a, b, c} is a basis of R³. Determine if another set, {3a-2b, a+4b+5c, a-2c}, is also a basis of R³.

Prove $\sup_{1 \leq n < \infty} \|\sum_{i=1}^n \alpha_i x_i\| \leq \lim_{n \rightarrow \infty} \sup_{1 \leq k \leq n} \|\sum_{i=1}^k \alpha_i x_i\|$

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