List questions from adjoint-operators

85

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Show $\mathrm{rank}\mathsf{T} = \mathrm{rank}\mathsf{T}^\ast$ for a linear operator of finite-dimensional inner product space

Published on 12 May 2014 - 0:56

2k

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Is it possible to define an inner product such that an arbitrary operator is self adjoint?

Published on 14 May 2014 - 0:41

6.1k

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Adjoint of an integral operator

Published on 25 Mar 2026 - 3:07

127

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help,example about disjoint operators

Published on 22 May 2014 - 19:04

213

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help me please about adjoint of operators in L1

Published on 22 May 2014 - 20:51

83

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Using inner product property to determine if operator is an isomorphism.

Published on 08 Jun 2014 - 2:37

516

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nilpotent linear transformation and its adjoint exercise

Published on 25 Mar 2026 - 17:51

3.7k

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Proof: adjoint map of projection is a projection and ...

Published on 09 Jun 2014 - 6:13

209

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Selfadjoint Operator: Basic Criterion

Published on 13 Jun 2014 - 14:34

52

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What is the dual of $A\cap B$

Published on 21 Jun 2014 - 12:49

3k

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If $\|Tv\|=\|T^*v\|$ for all $v\in V$, then $T$ is a normal operator

Published on 26 Jul 2014 - 16:14

459

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Role of metric in the matrix representation of Hermitian adjoint

Published on 15 Aug 2014 - 19:38

2.1k

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How to write a non-homogeneous equation in self-adjoint form

Published on 25 Mar 2026 - 16:00

2.9k

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Can a self-adjoint operator have no eigenvalues?

Published on 04 Sep 2014 - 9:28

649

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Inner product space over generalized number systems

Published on 25 Mar 2026 - 7:41

List Question

Show $\mathrm{rank}\mathsf{T} = \mathrm{rank}\mathsf{T}^\ast$ for a linear operator of finite-dimensional inner product space

Is it possible to define an inner product such that an arbitrary operator is self adjoint?

Adjoint of an integral operator

help,example about disjoint operators

help me please about adjoint of operators in L1

Using inner product property to determine if operator is an isomorphism.

nilpotent linear transformation and its adjoint exercise

Proof: adjoint map of projection is a projection and ...

Selfadjoint Operator: Basic Criterion

What is the dual of $A\cap B$

If $\|Tv\|=\|T^*v\|$ for all $v\in V$, then $T$ is a normal operator

Role of metric in the matrix representation of Hermitian adjoint

How to write a non-homogeneous equation in self-adjoint form

Can a self-adjoint operator have no eigenvalues?

Inner product space over generalized number systems

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