List questions from adjoint-operators

87

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Show that $q(T)(x)=\sum_{n=1}^\infty q(\lambda_n) \langle x,e_n\rangle e_n$ coincide with $q(T)=\sum_{k=0}^n a_kT^k$

Published on 21 Jun 2016 - 21:12

62

Views

Verify my proof: For an invertible $A$ , $V\in F^n$ is an invariant subspace $V$ of $A$ $\iff$ $V$ is an invariant subspace $V$ of $Adj(A)$

Published on 02 Jul 2016 - 9:40

737

Views

Prove or disprove: $\operatorname{Adj} (A)$ is diagonlizable $\implies A$ is diagonalizable

Published on 03 Jul 2016 - 12:44

76

Views

The adjoint of matrix operator?

Published on 05 Jul 2016 - 3:41

170

Views

Showing an operator is self adjont

Published on 14 Apr 2013 - 10:46

140

Views

Block Matrices of Operators

Published on 15 Apr 2013 - 2:06

111

Views

Find $r(x)$ such that $r(x)L$ is self-adjoint

Published on 16 Apr 2013 - 3:02

1.9k

Views

What does the adjoining mean?

Published on 21 Apr 2013 - 20:04

1.4k

Views

What is the adjoint of $x + \frac{d}{dx}?$

Published on 11 May 2013 - 2:47

168

Views

Onto and one-to-one

Published on 28 May 2013 - 4:20

2.5k

Views

Invertibility in a finite-dimensional inner product space

Published on 03 Jun 2013 - 21:57

169

Views

Given a positive definite matrix $A$, how can I find a matrix $S$ such that $A=S^TS$ and $S$ has following restrictions?

Published on 12 Jun 2013 - 18:08

89

Views

Can I always extend a selfadjoint Operator in $L^2$?

Published on 19 Jun 2013 - 18:45

325

Views

adjoint of an operator

Published on 29 Jun 2013 - 11:01

357

Views

Every $\mathbb{P}^n$-bundle is a $\mathbb{P}(\mathscr{E})$

Published on 28 Mar 2026 - 20:51

List Question

Show that $q(T)(x)=\sum_{n=1}^\infty q(\lambda_n) \langle x,e_n\rangle e_n$ coincide with $q(T)=\sum_{k=0}^n a_kT^k$

Verify my proof: For an invertible $A$ , $V\in F^n$ is an invariant subspace $V$ of $A$ $\iff$ $V$ is an invariant subspace $V$ of $Adj(A)$

Prove or disprove: $\operatorname{Adj} (A)$ is diagonlizable $\implies A$ is diagonalizable

The adjoint of matrix operator?

Showing an operator is self adjont

Block Matrices of Operators

Find $r(x)$ such that $r(x)L$ is self-adjoint

What does the adjoining mean?

What is the adjoint of $x + \frac{d}{dx}?$

Onto and one-to-one

Invertibility in a finite-dimensional inner product space

Given a positive definite matrix $A$, how can I find a matrix $S$ such that $A=S^TS$ and $S$ has following restrictions?

Can I always extend a selfadjoint Operator in $L^2$?

adjoint of an operator

Every $\mathbb{P}^n$-bundle is a $\mathbb{P}(\mathscr{E})$

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