Question

What is meant by $A\oplus B \oplus C$?

score 333 · Answer 1 · 2020-04-22 18:35:50

333

Views

What is meant by $A\oplus B \oplus C$?

Published on 22 Apr 2020 - 18:35

score 94 · Answer 2 · 2020-04-23 12:01:46

94

Views

How do you prove this vector space $M_{2X2}$ with direct sum $\oplus$ and $\otimes $ involved?

Published on 23 Apr 2020 - 12:01

score 24 · Answer 3 · 2020-04-26 20:14:12

24

Views

Given a linear form f on vector space L, prove that there exists one-dimensional subspace M such as L is direct sum of Ker f and M

Published on 26 Apr 2020 - 20:14

score 304 · Answer 4 · 2026-03-26 04:34:40

304

Views

Doubt on hypothesis of universal property of direct sum

Published on 26 Mar 2026 - 4:34

score 2.6k · Answer 5 · 2020-04-29 11:02:19

2.6k

Views

Do intersections commute with direct sum?

Published on 29 Apr 2020 - 11:02

score 121 · Answer 6 · 2026-03-26 03:25:27

121

Views

$V=N(T^m)\oplus R(T^m)$

Published on 26 Mar 2026 - 3:25

score 698 · Answer 7 · 2026-03-26 17:34:40

698

Views

Is an infinite direct product or sum of non-trivial modules not finitely generated?

Published on 26 Mar 2026 - 17:34

score 782 · Answer 8 · 2026-03-25 21:22:56

782

Views

What is internal direct sum or internal direct product in Dummit and Foote?

Published on 25 Mar 2026 - 21:22

score 276 · Answer 9 · 2020-05-07 14:20:05

276

Views

Basis of External Direct Sum of infinitely many vector spaces

Published on 07 May 2020 - 14:20

score 68 · Answer 10 · 2026-03-27 16:00:50

68

Views

Inequality who involve squares

Published on 27 Mar 2026 - 16:00

score 877 · Answer 11 · 2020-05-12 06:00:08

877

Views

If dimension of two subspaces are equal then there exists a subspace who direct sum with each of the two is equal to whole space

Published on 12 May 2020 - 6:00

score 60 · Answer 12 · 2026-03-26 01:09:35

60

Views

How do I prove that no such T-invariant subspace exists?

Published on 26 Mar 2026 - 1:09

score 502 · Answer 13 · 2026-03-27 13:48:28

502

Views

How can I show that every vector in $U\oplus W$ can be uniquely decomposed into a sum of vectors in $U$ and $W$?

Published on 27 Mar 2026 - 13:48

score 41 · Answer 14 · 2020-05-15 14:32:07

41

Views

Operator norm of $T\colon H\to H$ if we know $\|T|_{W}\|$ and $\|T|_{W^{\perp}}\|$, where $W\subset H$ is a closed subspace.

Published on 15 May 2020 - 14:32

score 546 · Answer 15 · 2026-03-26 01:11:00

546

Views

matrix representation of T|w where W is invariant space

Published on 26 Mar 2026 - 1:11

List Question

What is meant by $A\oplus B \oplus C$?

How do you prove this vector space $M_{2X2}$ with direct sum $\oplus$ and $\otimes $ involved?

Given a linear form f on vector space L, prove that there exists one-dimensional subspace M such as L is direct sum of Ker f and M

Doubt on hypothesis of universal property of direct sum

Do intersections commute with direct sum?

$V=N(T^m)\oplus R(T^m)$

Is an infinite direct product or sum of non-trivial modules not finitely generated?

What is internal direct sum or internal direct product in Dummit and Foote?

Basis of External Direct Sum of infinitely many vector spaces

Inequality who involve squares

If dimension of two subspaces are equal then there exists a subspace who direct sum with each of the two is equal to whole space

How do I prove that no such T-invariant subspace exists?

How can I show that every vector in $U\oplus W$ can be uniquely decomposed into a sum of vectors in $U$ and $W$?

Operator norm of $T\colon H\to H$ if we know $\|T|_{W}\|$ and $\|T|_{W^{\perp}}\|$, where $W\subset H$ is a closed subspace.

matrix representation of T|w where W is invariant space

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