Question

Prove that $L(l, Y) $ and $l_y^\infty $are isometrically isomorphic spaces.

score 56 · Answer 1 · 2019-11-07 15:00:16

56

Views

Prove that $L(l, Y) $ and $l_y^\infty $are isometrically isomorphic spaces.

Published on 07 Nov 2019 - 15:00

score 190 · Answer 2 · 2019-11-11 22:19:15

190

Views

Isomorphic spaces and bases

Published on 11 Nov 2019 - 22:19

score 51 · Answer 3 · 2026-03-25 10:40:43

51

Views

The relation of $\alpha$ having index of nilpotence $k>0$ and being (with $\sigma_{1}$) 1-1 and onto.

Published on 25 Mar 2026 - 10:40

score 33 · Answer 4 · 2019-11-16 14:46:37

33

Views

Linear algera-Question on Isomorphism.

Published on 16 Nov 2019 - 14:46

score 78 · Answer 5 · 2019-11-17 07:45:30

78

Views

Prove that the vector space $V$ must be infinite dimensional

Published on 17 Nov 2019 - 7:45

score 60 · Answer 6 · 2019-11-17 19:35:08

60

Views

Find an isomorphism $D: Hom_R(R^p, R^q) \longrightarrow R^{p\times q}$

Published on 17 Nov 2019 - 19:35

score 392 · Answer 7 · 2019-11-24 05:51:59

392

Views

Adding a scalar multiple of one column to another leaves the column and row ranks unaltered and deduce from this that row rank = column rank

Published on 24 Nov 2019 - 5:51

score 104 · Answer 8 · 2019-11-25 17:34:42

104

Views

Proving surjectivity in the following question.

Published on 25 Nov 2019 - 17:34

score 66 · Answer 9 · 2019-12-04 13:46:44

66

Views

Does an automorphism map an endomorphism applied to a basis to the same endomorphism applied to another basis?

Published on 04 Dec 2019 - 13:46

score 109 · Answer 10 · 2019-12-06 20:28:31

109

Views

Identity map isomorphism and addition of isomorphisms

Published on 06 Dec 2019 - 20:28

score 690 · Answer 11 · 2019-12-21 02:58:49

690

Views

Proof that every $\kappa$-dimensional vector space is isomorphic to the vector space $(F^B)_0$

Published on 21 Dec 2019 - 2:58

score 202 · Answer 12 · 2020-01-02 13:18:23

202

Views

An alternative, basis free, proof which perhaps makes use of quotient spaces?

Published on 02 Jan 2020 - 13:18

score 140 · Answer 13 · 2020-01-05 21:54:25

140

Views

The inverse mapping theorem for normed spaces

Published on 05 Jan 2020 - 21:54

score 33 · Answer 14 · 2020-01-08 17:27:59

33

Views

Proof of isomorphism $V/W \cong K$

Published on 08 Jan 2020 - 17:27

score 57 · Answer 15 · 2020-01-13 01:15:35

57

Views

Showing an isometric isomorphism between $C([0,1])$ with sup norm to itself

Published on 13 Jan 2020 - 1:15

List Question

Prove that $L(l, Y) $ and $l_y^\infty $are isometrically isomorphic spaces.

Isomorphic spaces and bases

The relation of $\alpha$ having index of nilpotence $k>0$ and being (with $\sigma_{1}$) 1-1 and onto.

Linear algera-Question on Isomorphism.

Prove that the vector space $V$ must be infinite dimensional

Find an isomorphism $D: Hom_R(R^p, R^q) \longrightarrow R^{p\times q}$

Adding a scalar multiple of one column to another leaves the column and row ranks unaltered and deduce from this that row rank = column rank

Proving surjectivity in the following question.

Does an automorphism map an endomorphism applied to a basis to the same endomorphism applied to another basis?

Identity map isomorphism and addition of isomorphisms

Proof that every $\kappa$-dimensional vector space is isomorphic to the vector space $(F^B)_0$

An alternative, basis free, proof which perhaps makes use of quotient spaces?

The inverse mapping theorem for normed spaces

Proof of isomorphism $V/W \cong K$

Showing an isometric isomorphism between $C([0,1])$ with sup norm to itself

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