List questions from normed-spaces

Published on 12 Apr 2026 - 20:45

333

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Equivalent norm in homeomorphic spaces

Published on 12 Apr 2026 - 8:37

91

Views

derivative vanishes

Published on 15 Apr 2026 - 12:56

586

Views

Operator norm of product of matrices

Published on 11 Apr 2026 - 1:51

148

Views

Example of non-commutative linear mappings compound which gives identity in one direction

Published on 15 Apr 2026 - 6:09

233

Views

Find vector components with norm

Published on 15 Apr 2026 - 3:14

103

Views

Why is $l^2$ space needed in definition of weighted shift?

Published on 11 Apr 2026 - 18:09

432

Views

Are coordinates always less than norm

Published on 17 Apr 2026 - 14:21

563

Views

Why is the spectral radius of a matrix not a norm?

Published on 15 Apr 2026 - 16:53

1.5k

Views

Prove Ux$\cdot$Uy = x$\cdot$y $\forall$ x,y $\in$ $\mathbb{R}^n$ where U is Isometric transformation

Published on 14 Apr 2026 - 4:45

887

Views

Proof that $\|fx\| \leq \|f\|\cdot\|x\|$

Published on 15 Apr 2026 - 15:58

1k

Views

Condition number of matrix is $1$ iff $A^TA=\alpha I$

Published on 16 Apr 2026 - 13:23

80

Views

From $||(f_1+f_2)x|| \leq ||f_1|| + ||f_2||\ \forall x \text{ such that } ||x||\leq 1$, how does $||f_1+f_2|| \leq ||f_1|| + ||f_2||$ follow?

Published on 16 Apr 2026 - 12:25

81

Views

Is there some notation and name for this norm?

Published on 14 Apr 2026 - 21:53

125

Views

Relations between the duals of spaces

Published on 13 Apr 2026 - 10:00

List Question

Strategy to "solve" $A=BM$ where $A$, $B$ are rectangular matrices

Equivalent norm in homeomorphic spaces

derivative vanishes

Operator norm of product of matrices

Example of non-commutative linear mappings compound which gives identity in one direction

Find vector components with norm

Why is $l^2$ space needed in definition of weighted shift?

Are coordinates always less than norm

Why is the spectral radius of a matrix not a norm?

Prove Ux$\cdot$Uy = x$\cdot$y $\forall$ x,y $\in$ $\mathbb{R}^n$ where U is Isometric transformation

Proof that $\|fx\| \leq \|f\|\cdot\|x\|$

Condition number of matrix is $1$ iff $A^TA=\alpha I$

From $||(f_1+f_2)x|| \leq ||f_1|| + ||f_2||\ \forall x \text{ such that } ||x||\leq 1$, how does $||f_1+f_2|| \leq ||f_1|| + ||f_2||$ follow?

Is there some notation and name for this norm?

Relations between the duals of spaces

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