List questions from adjoint-operators

302

Views

If two matrices have the same characteristic polynomial, they need not be unitarily equivalent. Why?

Published on 25 Mar 2026 - 16:00

79

Views

Infinite-dimensional inner product spaces: if $A$ is a skew operator, does it follow that $A-I$ is invertible?

Published on 06 May 2020 - 1:54

482

Views

If $I$ is identity operator on Hilbert space $H$ then show that $I^* =I$

Published on 07 May 2020 - 4:51

62

Views

Limit of $H^1(\mathbb{R})$ functions

Published on 08 May 2020 - 16:43

37

Views

Hilbert space problem of orthogonal space

Published on 10 May 2020 - 21:23

146

Views

Exponential series of bounded Hilbert space operator is convergent

Published on 11 May 2020 - 17:45

47

Views

Linearity of an adjoint map

Published on 27 Mar 2026 - 7:12

129

Views

Involution is not strongly continuous

Published on 12 May 2020 - 14:46

75

Views

Question on adjoint operator

Published on 13 May 2020 - 6:40

167

Views

Adjoint of right shift operator on orthonormal basis $(e_{n})_{n\in\mathbb{N}}$ of $\ell^{2}(\mathbb{N})$

Published on 27 Mar 2026 - 7:49

171

Views

Does $P \circ P =P$ and $\langle Px, y \rangle = \langle x, Py \rangle$ imply $P$ is linear?

Published on 26 Mar 2026 - 4:16

56

Views

How to calculate a multiplication operator representation?

Published on 15 May 2020 - 18:50

68

Views

Operators on an Euclidean space

Published on 25 Mar 2026 - 17:36

52

Views

A problem about operators on an Euclidean space

Published on 25 Mar 2026 - 17:36

313

Views

Exercise of compact self-adjoint operator

Published on 27 Mar 2026 - 7:12

List Question

If two matrices have the same characteristic polynomial, they need not be unitarily equivalent. Why?

Infinite-dimensional inner product spaces: if $A$ is a skew operator, does it follow that $A-I$ is invertible?

If $I$ is identity operator on Hilbert space $H$ then show that $I^* =I$

Limit of $H^1(\mathbb{R})$ functions

Hilbert space problem of orthogonal space

Exponential series of bounded Hilbert space operator is convergent

Linearity of an adjoint map

Involution is not strongly continuous

Question on adjoint operator

Adjoint of right shift operator on orthonormal basis $(e_{n})_{n\in\mathbb{N}}$ of $\ell^{2}(\mathbb{N})$

Does $P \circ P =P$ and $\langle Px, y \rangle = \langle x, Py \rangle$ imply $P$ is linear?

How to calculate a multiplication operator representation?

Operators on an Euclidean space

A problem about operators on an Euclidean space

Exercise of compact self-adjoint operator

Trending Questions

Popular # Hahtags

Popular Questions