List questions from normed-spaces

Published on 17 Mar 2019 - 13:51

72

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Simpler Proof for the Special Case

Published on 29 Mar 2026 - 10:55

407

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Show that $\|Ax\|_2^2 = \lambda \|x\|_2^2$

Published on 25 Mar 2026 - 7:47

620

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Equivalent norms and subsets of open balls PROOF

Published on 18 Mar 2019 - 1:11

1.2k

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How do we show that $||x||_{\infty}\leq||x||_1\leq n||x||_{\infty}$?

Published on 18 Mar 2019 - 2:47

216

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$p=a^2+ab+41b^2$ iff $-163$ is a quadratic residue

Published on 26 Mar 2026 - 3:12

109

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A question on vector norm error analysis

Published on 18 Mar 2019 - 12:50

177

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Describe a plane in a matrix metric space

Published on 18 Mar 2019 - 15:15

328

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Why is operator norm defined the way it is?

Published on 18 Mar 2019 - 21:43

1.6k

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Spectral Radius $\leq$ min(1-norm, infinity norm)

Published on 26 Mar 2026 - 2:58

733

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Are $c_0$ and $c$ duals of some spaces?

Published on 26 Mar 2026 - 1:11

104

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Can you have an infinite descending chain of dual spaces?

Published on 25 Mar 2026 - 20:36

265

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Show that the spectral norm of one matrix is smaller than the other.

Published on 25 Mar 2026 - 1:20

293

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Explaining the Proof of Schwarz Inequality for Scalar Product in a Vector Space

Published on 19 Mar 2019 - 23:35

3.6k

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Proving Euclidian Norm squared is equivalent to transpose times matrix for x in R^n

Published on 20 Mar 2019 - 4:53

List Question

Lemma 2.4.1 Introductory Functional Analysis - Kreyszig :Confirmation of my understanding

Simpler Proof for the Special Case

Show that $\|Ax\|_2^2 = \lambda \|x\|_2^2$

Equivalent norms and subsets of open balls PROOF

How do we show that $||x||_{\infty}\leq||x||_1\leq n||x||_{\infty}$?

$p=a^2+ab+41b^2$ iff $-163$ is a quadratic residue

A question on vector norm error analysis

Describe a plane in a matrix metric space

Why is operator norm defined the way it is?

Spectral Radius $\leq$ min(1-norm, infinity norm)

Are $c_0$ and $c$ duals of some spaces?

Can you have an infinite descending chain of dual spaces?

Show that the spectral norm of one matrix is smaller than the other.

Explaining the Proof of Schwarz Inequality for Scalar Product in a Vector Space

Proving Euclidian Norm squared is equivalent to transpose times matrix for x in R^n

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