List questions from normed-spaces

Published on 11 May 2020 - 10:57

284

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Show that $||x||_{\infty}\leq||x||_2$

Published on 11 May 2020 - 14:09

285

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Unbounded linear operator between normed spaces

Published on 11 Apr 2026 - 1:47

22

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Construct a vectors and dual vectors with given property

Published on 12 Apr 2026 - 7:27

53

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Pre-Hilbert Spaces properties of norm

Published on 08 Apr 2026 - 22:03

446

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Canonical projection on Quotient space maps open ball to open ball

Published on 27 Mar 2026 - 12:20

162

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Showing incompleteness of metric space by specifying non-convergent Cauchy sequence

Published on 26 Mar 2026 - 16:06

409

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A finite dimensional topological vector space $V$ can be equipped with a norm $\|\cdot\|$ which gives the same topology.

Published on 28 Mar 2026 - 6:23

80

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Compute Gradient and Hessian of following function

Published on 05 Apr 2026 - 13:06

48

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Inequality involving Unit Vectors

Published on 10 Apr 2026 - 20:00

75

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Proving $\| g^{-1}-f^{-1}\|\leq 2\|{f^{-1}}\|^2\|g-f\|$

Published on 03 Apr 2026 - 15:12

195

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Maximize $a^T x$ with constraint on $2$-norm of $x$

Published on 30 Mar 2026 - 0:21

167

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Absolute Value of Complex Function to a Power

Published on 30 Mar 2026 - 10:08

152

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In split-complex numbers, why modulus of $z=a+bj$ is $a^2-b^2$ and not $\sqrt{a^2-b^2}$?

Published on 25 Mar 2026 - 16:02

520

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Spectral norm of projected matrix

Published on 25 Mar 2026 - 17:44

List Question

Is my proof of the claim in example 5.1.7 in Notes on Elementary Linear Analysis (Bedos) correct?

Show that $||x||_{\infty}\leq||x||_2$

Unbounded linear operator between normed spaces

Construct a vectors and dual vectors with given property

Pre-Hilbert Spaces properties of norm

Canonical projection on Quotient space maps open ball to open ball

Showing incompleteness of metric space by specifying non-convergent Cauchy sequence

A finite dimensional topological vector space $V$ can be equipped with a norm $\|\cdot\|$ which gives the same topology.

Compute Gradient and Hessian of following function

Inequality involving Unit Vectors

Proving $\| g^{-1}-f^{-1}\|\leq 2\|{f^{-1}}\|^2\|g-f\|$

Maximize $a^T x$ with constraint on $2$-norm of $x$

Absolute Value of Complex Function to a Power

In split-complex numbers, why modulus of $z=a+bj$ is $a^2-b^2$ and not $\sqrt{a^2-b^2}$?

Spectral norm of projected matrix

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