List questions from normed-spaces

Published on 28 Mar 2026 - 7:27

112

Views

Is it true that $\|A\circ \bar{A}\|_2\leq\|AA^{\dagger}\|_2$?

Published on 25 Mar 2026 - 12:48

64

Views

Do the two linear operators on $M_n(\mathbb R)$ have the same induced norm on the subspace of symmetric matrices?

Published on 25 Mar 2026 - 1:17

437

Views

Normed spaces where $x, y \neq 0$, $\Vert x + y \Vert = \Vert x \Vert + \Vert y \Vert $ and $\forall c > 0, \ x \neq cy$

Published on 27 Mar 2026 - 7:31

1.1k

Views

Is a linear operator continuous if its kernel is closed?

Published on 29 Sep 2018 - 15:29

31

Views

Integral inequality in a probabilty space

Published on 30 Sep 2018 - 15:21

238

Views

Prove ||u-v|| defines a metric space

Published on 01 Oct 2018 - 1:57

43

Views

Is it true that $\|A\|_\infty \le \sqrt{n}\|A\|_2$

Published on 01 Oct 2018 - 2:18

240

Views

Prove that Banach algebra $B(X)$ has a unique (up to equivalence) complete algebra norm.

Published on 25 Mar 2026 - 17:20

1k

Views

Inequality involving supremum norm on integral

Published on 25 Mar 2026 - 12:29

117

Views

Natural tramsformation between a normed linear space and it's double dual.

Published on 25 Mar 2026 - 12:54

1.1k

Views

Inequality between norms in $L^p$ and $L^q$ spaces for $p,q>1$

Published on 29 Mar 2026 - 3:35

79

Views

Properties of the uniform norm on probability spaces

Published on 04 Oct 2018 - 22:14

53

Views

Using SVD to express the normalized norm of the output of a linear map

Published on 25 Mar 2026 - 9:31

464

Views

Relation Between Norm and Inner Product

Published on 27 Mar 2026 - 20:12

List Question

Derivative of an Euclidean norm of vectors

Is it true that $\|A\circ \bar{A}\|_2\leq\|AA^{\dagger}\|_2$?

Do the two linear operators on $M_n(\mathbb R)$ have the same induced norm on the subspace of symmetric matrices?

Normed spaces where $x, y \neq 0$, $\Vert x + y \Vert = \Vert x \Vert + \Vert y \Vert $ and $\forall c > 0, \ x \neq cy$

Is a linear operator continuous if its kernel is closed?

Integral inequality in a probabilty space

Prove ||u-v|| defines a metric space

Is it true that $\|A\|_\infty \le \sqrt{n}\|A\|_2$

Prove that Banach algebra $B(X)$ has a unique (up to equivalence) complete algebra norm.

Inequality involving supremum norm on integral

Natural tramsformation between a normed linear space and it's double dual.

Inequality between norms in $L^p$ and $L^q$ spaces for $p,q>1$

Properties of the uniform norm on probability spaces

Using SVD to express the normalized norm of the output of a linear map

Relation Between Norm and Inner Product

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