List questions from normed-spaces

Published on 25 Mar 2026 - 12:46

369

Views

unit sphere in $l^\infty$ is not compact

Published on 05 Apr 2026 - 17:46

20

Views

norm of a complex with imaginary power

Published on 09 Apr 2026 - 5:21

188

Views

How to prove that whether it is a Banach space or not?

Published on 11 Apr 2026 - 20:12

98

Views

Counter example for equivalent norms.

Published on 12 Apr 2026 - 4:14

39

Views

Equivalence of norms and a contradiction

Published on 12 Apr 2026 - 1:44

372

Views

Proving that the derivative is unique in higher dimensions

Published on 30 Mar 2026 - 2:12

35

Views

Prove a lower bound on an expectation.

Published on 07 Apr 2026 - 9:38

225

Views

Proving for any nonnegative integer $k$, $[T^k]_\beta=([T]_\beta)^k.$

Published on 11 Apr 2026 - 20:13

20

Views

Assuming inducing norm for given metric on a linear space

Published on 26 Mar 2026 - 9:40

446

Views

$L^p$ for $0<p<1$ is not a normed space

Published on 06 Apr 2026 - 9:03

41

Views

Show $C:=\{x\in V:\|x\|\leq 1\}$ is convex

Published on 12 Apr 2026 - 3:32

238

Views

Is the product rule $f_n \to f$, $g_n\to g \Rightarrow f_ng_n\to fg$ true in the space $C[0,1]$?

Published on 10 May 2020 - 16:26

103

Views

Is the space of all bounded linear operators form a Banach space (under the given norm)?

Published on 12 Apr 2026 - 1:58

121

Views

prove a bound for 2-norm of Jordan block

Published on 29 Mar 2026 - 20:06

List Question

Show that the function $f$ is a contraction

unit sphere in $l^\infty$ is not compact

norm of a complex with imaginary power

How to prove that whether it is a Banach space or not?

Counter example for equivalent norms.

Equivalence of norms and a contradiction

Proving that the derivative is unique in higher dimensions

Prove a lower bound on an expectation.

Proving for any nonnegative integer $k$, $[T^k]_\beta=([T]_\beta)^k.$

Assuming inducing norm for given metric on a linear space

$L^p$ for $0<p<1$ is not a normed space

Show $C:=\{x\in V:\|x\|\leq 1\}$ is convex

Is the product rule $f_n \to f$, $g_n\to g \Rightarrow f_ng_n\to fg$ true in the space $C[0,1]$?

Is the space of all bounded linear operators form a Banach space (under the given norm)?

prove a bound for 2-norm of Jordan block

Trending Questions

Popular # Hahtags

Popular Questions