Question

Proving the spectral mapping theorem via the continuous functional calculus - significant progress

score 585 · Answer 1 · 2026-03-25 23:06:11

585

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Proving the spectral mapping theorem via the continuous functional calculus - significant progress

Published on 25 Mar 2026 - 23:06

score 127 · Answer 2 · 2026-03-26 00:15:26

127

Views

Proving property of family of orthogonal projections on a separable Hilbert space based on strong convergence

Published on 26 Mar 2026 - 0:15

score 146 · Answer 3 · 2026-03-25 21:52:03

146

Views

If $A$ is self-adjoint and nonnegative then linear functional is nonnegative

Published on 25 Mar 2026 - 21:52

score 107 · Answer 4 · 2026-03-26 05:35:55

107

Views

Prove Norm of Positive Operator is Determined by Order Relation with Unit

Published on 26 Mar 2026 - 5:35

score 441 · Answer 5 · 2026-03-26 14:06:20

441

Views

Injectivity of a compact self-adjoint operator on Hilbert space

Published on 26 Mar 2026 - 14:06

score 846 · Answer 6 · 2026-03-25 18:27:29

846

Views

Show that two compact self-adjoint operators in Hilbert space must share at least one eigenvector [Stein Chapter 4 Exercise 35]

Published on 25 Mar 2026 - 18:27

score 90 · Answer 7 · 2026-03-24 17:29:45

90

Views

Selfadjoint bounded isometric operators and orthogonal projections

Published on 24 Mar 2026 - 17:29

score 91 · Answer 8 · 2026-03-26 07:38:27

91

Views

Extension of unbounded symmetric operator ranges equal implies trivial extension

Published on 26 Mar 2026 - 7:38

score 68 · Answer 9 · 2026-03-25 16:47:53

68

Views

An alternative definition for trace class.

Published on 25 Mar 2026 - 16:47

score 148 · Answer 10 · 2026-03-25 01:56:58

148

Views

Countinuous spectrum of multiplication operator on $L^{2}(\mathbb{R})$

Published on 25 Mar 2026 - 1:56

score 98 · Answer 11 · 2026-03-26 03:11:16

98

Views

Finite-dimensional truncations of unbounded operators and resolvent convergence

Published on 26 Mar 2026 - 3:11

score 92 · Answer 12 · 2026-03-26 13:19:30

92

Views

Essential self-adjointness of restriction of symmetric operator

Published on 26 Mar 2026 - 13:19

score 372 · Answer 13 · 2026-03-26 03:19:13

372

Views

Question on positive square root of an operator

Published on 26 Mar 2026 - 3:19

score 77 · Answer 14 · 2026-03-26 03:00:24

77

Views

Showing that range of a map is closed

Published on 26 Mar 2026 - 3:00

score 76 · Answer 15 · 2026-03-26 01:51:45

76

Views

Let $A$ and $B$ closed operators. Show $\|Ax\|=\|Bx\|$ for all $x\in D(A)=D(B)$ iff $A^A=B^B$

Published on 26 Mar 2026 - 1:51

List Question

Proving the spectral mapping theorem via the continuous functional calculus - significant progress

Proving property of family of orthogonal projections on a separable Hilbert space based on strong convergence

If $A$ is self-adjoint and nonnegative then linear functional is nonnegative

Prove Norm of Positive Operator is Determined by Order Relation with Unit

Injectivity of a compact self-adjoint operator on Hilbert space

Show that two compact self-adjoint operators in Hilbert space must share at least one eigenvector [Stein Chapter 4 Exercise 35]

Selfadjoint bounded isometric operators and orthogonal projections

Extension of unbounded symmetric operator ranges equal implies trivial extension

An alternative definition for trace class.

Countinuous spectrum of multiplication operator on $L^{2}(\mathbb{R})$

Finite-dimensional truncations of unbounded operators and resolvent convergence

Essential self-adjointness of restriction of symmetric operator

Question on positive square root of an operator

Showing that range of a map is closed

Let $A$ and $B$ closed operators. Show $\|Ax\|=\|Bx\|$ for all $x\in D(A)=D(B)$ iff $A^A=B^B$

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