Question

For finite-dimensional vector space $X$, does $\phi: X \rightarrow \mathbb{R}$ continuous and bounded imply $\phi$ linear?

score 59 · Answer 1 · 2018-08-11 05:43:00

59

Views

For finite-dimensional vector space $X$, does $\phi: X \rightarrow \mathbb{R}$ continuous and bounded imply $\phi$ linear?

Published on 11 Aug 2018 - 5:43

score 39 · Answer 2 · 2026-03-25 13:53:01

39

Views

How many Scalers can be built using three different unit vectors?

Published on 25 Mar 2026 - 13:53

score 60 · Answer 3 · 2026-03-30 01:28:17

60

Views

Perimeter of the circle on a complex vector space

Published on 30 Mar 2026 - 1:28

score 3.4k · Answer 4 · 2026-03-27 06:59:56

3.4k

Views

Defining the Lie bracket on a tensor product Lie algebra

Published on 27 Mar 2026 - 6:59

score 400 · Answer 5 · 2026-03-25 01:18:35

400

Views

On the sets of sums $\sum\limits_{n=1}^\infty\frac{a_n}{n^s}$ with $(a_n)$ periodic and integer valued, for different values of $s$ natural number

Published on 25 Mar 2026 - 1:18

score 1k · Answer 6 · 2026-03-26 22:19:46

1k

Views

Linear Independence of Elements over Binary Finite Fields

Published on 26 Mar 2026 - 22:19

score 48 · Answer 7 · 2018-08-13 15:54:52

48

Views

Determining the dimensions of subspaces of M?

Published on 13 Aug 2018 - 15:54

score 1k · Answer 8 · 2026-03-29 20:47:05

1k

Views

Finding vector length for high dimensions

Published on 29 Mar 2026 - 20:47

score 3.3k · Answer 9 · 2018-08-14 22:24:29

3.3k

Views

Proving that function space is a vector space over field

Published on 14 Aug 2018 - 22:24

score 59 · Answer 10 · 2026-03-27 13:25:31

59

Views

Are there any advantages of treating four-dimensional Euclidean space as $\mathbb{C}^2$ instead of $\mathbb{R}^4$?

Published on 27 Mar 2026 - 13:25

score 69 · Answer 11 · 2018-08-15 14:41:16

69

Views

Prove or disprove that {$1,x,x^2,...$} is a basis of the space of complex sequences

Published on 15 Aug 2018 - 14:41

score 406 · Answer 12 · 2026-03-27 04:17:31

406

Views

Proof of Cauchy-Schwarz inequality?

Published on 27 Mar 2026 - 4:17

score 233 · Answer 13 · 2018-08-15 15:50:44

233

Views

Additive Cancellation law for vector subspace

Published on 15 Aug 2018 - 15:50

score 61 · Answer 14 · 2018-08-15 16:13:22

61

Views

Show linear dependency of a ordered set of matrices

Published on 15 Aug 2018 - 16:13

score 470 · Answer 15 · 2018-08-15 17:11:35

470

Views

Eigenvector of a sum of two rotation matrices in SO(3)

Published on 15 Aug 2018 - 17:11

List Question

For finite-dimensional vector space $X$, does $\phi: X \rightarrow \mathbb{R}$ continuous and bounded imply $\phi$ linear?

How many Scalers can be built using three different unit vectors?

Perimeter of the circle on a complex vector space

Defining the Lie bracket on a tensor product Lie algebra

On the sets of sums $\sum\limits_{n=1}^\infty\frac{a_n}{n^s}$ with $(a_n)$ periodic and integer valued, for different values of $s$ natural number

Linear Independence of Elements over Binary Finite Fields

Determining the dimensions of subspaces of M?

Finding vector length for high dimensions

Proving that function space is a vector space over field

Are there any advantages of treating four-dimensional Euclidean space as $\mathbb{C}^2$ instead of $\mathbb{R}^4$?

Prove or disprove that {$1,x,x^2,...$} is a basis of the space of complex sequences

Proof of Cauchy-Schwarz inequality?

Additive Cancellation law for vector subspace

Show linear dependency of a ordered set of matrices

Eigenvector of a sum of two rotation matrices in SO(3)

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