Question

What is the coproduct in the category of Banach spaces and continuous linear maps?

score 686 · Answer 1 · 2014-06-27 13:01:12

686

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What is the coproduct in the category of Banach spaces and continuous linear maps?

Published on 27 Jun 2014 - 13:01

score 107 · Answer 2 · 2026-03-25 23:11:03

107

Views

How I could transform this into product over primes :$s_p$= $\frac{1}{2^2-1}+\frac{1}{2^3-1}+....\frac{1}{2^p-1}$?

Published on 25 Mar 2026 - 23:11

score 80 · Answer 3 · 2014-07-31 12:06:41

80

Views

Show that 2 matrices belong to a square matrix by taking the transpose. Vector spaces

Published on 31 Jul 2014 - 12:06

score 6.8k · Answer 4 · 2014-07-31 18:28:56

6.8k

Views

Prove that the direct sum of a symmetric and skew symmetric matrix belongs to $M_n(K)$ using $A_{ij}$ and $A_{ji}$ notation.

Published on 31 Jul 2014 - 18:28

score 380 · Answer 5 · 2026-03-26 09:46:59

380

Views

Multiplication by scalar axioms for an abelian group.

Published on 26 Mar 2026 - 9:46

score 485 · Answer 6 · 2014-08-12 11:24:08

485

Views

Finding different sum factors of a number

Published on 12 Aug 2014 - 11:24

score 198 · Answer 7 · 2014-08-18 21:08:41

198

Views

Showing $U\otimes (V\oplus W) \cong U\otimes V \oplus U\otimes W $

Published on 18 Aug 2014 - 21:08

score 489 · Answer 8 · 2014-09-22 01:51:18

489

Views

isomorphic mapping on direct sum and products

Published on 22 Sep 2014 - 1:51

score 368 · Answer 9 · 2014-09-23 05:09:32

368

Views

What is wrong with this proof that if $V = U_1 \oplus W$ and if $V = U_2 \oplus W$, then $U_1 = U_2$?

Published on 23 Sep 2014 - 5:09

score 127 · Answer 10 · 2026-03-26 04:34:39

127

Views

Proving that some property on a chain complex of groups implies isomorphism between direct sums of these groups.

Published on 26 Mar 2026 - 4:34

score 253 · Answer 11 · 2026-03-25 09:33:21

253

Views

Maximum product for multisets with same sum

Published on 25 Mar 2026 - 9:33

score 3.3k · Answer 12 · 2026-03-26 11:18:30

3.3k

Views

Direct sum and direct product of infinitely many abelian groups are not isomorphic

Published on 26 Mar 2026 - 11:18

score 634 · Answer 13 · 2026-03-25 23:20:46

634

Views

p-direct sum and dual spaces

Published on 25 Mar 2026 - 23:20

score 7.9k · Answer 14 · 2014-10-13 13:31:59

7.9k

Views

Definition of direct sum of modules?

Published on 13 Oct 2014 - 13:31

score 361 · Answer 15 · 2014-10-14 04:36:31

361

Views

Direct sum of subspaces of a vector space.

Published on 14 Oct 2014 - 4:36

List Question

What is the coproduct in the category of Banach spaces and continuous linear maps?

How I could transform this into product over primes :$s_p$= $\frac{1}{2^2-1}+\frac{1}{2^3-1}+....\frac{1}{2^p-1}$?

Show that 2 matrices belong to a square matrix by taking the transpose. Vector spaces

Prove that the direct sum of a symmetric and skew symmetric matrix belongs to $M_n(K)$ using $A_{ij}$ and $A_{ji}$ notation.

Multiplication by scalar axioms for an abelian group.

Finding different sum factors of a number

Showing $U\otimes (V\oplus W) \cong U\otimes V \oplus U\otimes W $

isomorphic mapping on direct sum and products

What is wrong with this proof that if $V = U_1 \oplus W$ and if $V = U_2 \oplus W$, then $U_1 = U_2$?

Proving that some property on a chain complex of groups implies isomorphism between direct sums of these groups.

Maximum product for multisets with same sum

Direct sum and direct product of infinitely many abelian groups are not isomorphic

p-direct sum and dual spaces

Definition of direct sum of modules?

Direct sum of subspaces of a vector space.

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