Question

Given a (separable) Banach space $(X,||.||)$, is there an inner product $<,>$ on $X$ such that $(X,||.||)$ and $(X,<,>)$ are linearly isomorphic?

score 164 · Answer 1 · 2026-03-25 16:13:52

164

Views

Given a (separable) Banach space $(X,||.||)$, is there an inner product $<,>$ on $X$ such that $(X,||.||)$ and $(X,<,>)$ are linearly isomorphic?

Published on 25 Mar 2026 - 16:13

score 105 · Answer 2 · 2018-03-23 21:39:26

105

Views

On Linear Independence of a Set

Published on 23 Mar 2018 - 21:39

score 48 · Answer 3 · 2018-03-23 22:48:31

48

Views

Rank of a linear transformation.

Published on 23 Mar 2018 - 22:48

score 178 · Answer 4 · 2018-03-24 01:51:42

178

Views

invariants of semilinear transformation under change of basis

Published on 24 Mar 2018 - 1:51

score 605 · Answer 5 · 2026-03-27 00:04:58

605

Views

Prove that resultant vectors of a linear transformation forms a basis if it is invertible.

Published on 27 Mar 2026 - 0:04

score 1k · Answer 6 · 2018-03-24 12:08:36

1k

Views

Show that if $\{Av_1,\ldots,Av_n\}$ is linearly independent then $A$ is non-singular

Published on 24 Mar 2018 - 12:08

score 70 · Answer 7 · 2026-03-26 12:13:57

70

Views

Effects of linear transformation

Published on 26 Mar 2026 - 12:13

score 30 · Answer 8 · 2018-03-24 21:24:33

30

Views

Inverting a linear transformation from $L^2$ to $R^N$

Published on 24 Mar 2018 - 21:24

score 36 · Answer 9 · 2018-03-24 22:42:25

36

Views

Determing whether or not the range of a linear transformation is linearly independent.

Published on 24 Mar 2018 - 22:42

score 137 · Answer 10 · 2018-03-24 23:47:40

137

Views

Rotation matrix seen as transform matrix between bases

Published on 24 Mar 2018 - 23:47

score 1.7k · Answer 11 · 2018-03-25 00:32:11

1.7k

Views

Which of these transformations is linear?

Published on 25 Mar 2018 - 0:32

score 6.1k · Answer 12 · 2018-03-25 01:27:31

6.1k

Views

How would I find the standard matrix of this linear transformation?

Published on 25 Mar 2018 - 1:27

score 230 · Answer 13 · 2026-03-28 01:05:48

230

Views

Eigenvalue with no eigenvector in $\mathbb{Q}^n$

Published on 28 Mar 2026 - 1:05

score 115 · Answer 14 · 2026-03-24 22:10:53

115

Views

Verify a proof: Alternating operator applied on a 3-linear function gives 0?

Published on 24 Mar 2026 - 22:10

score 45.6k · Answer 15 · 2026-03-24 22:01:29

45.6k

Views

How to find Projection matrix onto the subspace

Published on 24 Mar 2026 - 22:01

List Question

Given a (separable) Banach space $(X,||.||)$, is there an inner product $<,>$ on $X$ such that $(X,||.||)$ and $(X,<,>)$ are linearly isomorphic?

On Linear Independence of a Set

Rank of a linear transformation.

invariants of semilinear transformation under change of basis

Prove that resultant vectors of a linear transformation forms a basis if it is invertible.

Show that if $\{Av_1,\ldots,Av_n\}$ is linearly independent then $A$ is non-singular

Effects of linear transformation

Inverting a linear transformation from $L^2$ to $R^N$

Determing whether or not the range of a linear transformation is linearly independent.

Rotation matrix seen as transform matrix between bases

Which of these transformations is linear?

How would I find the standard matrix of this linear transformation?

Eigenvalue with no eigenvector in $\mathbb{Q}^n$

Verify a proof: Alternating operator applied on a 3-linear function gives 0?

How to find Projection matrix onto the subspace

Trending Questions

Popular # Hahtags

Popular Questions