Question

Must the domain of a Hilbert space operator be limited to square-summable elements? If so, what type of space does not restrict, thus?

score 56 · Answer 1 · 2026-04-13 05:42:34

56

Views

Must the domain of a Hilbert space operator be limited to square-summable elements? If so, what type of space does not restrict, thus?

Published on 13 Apr 2026 - 5:42

score 45 · Answer 2 · 2026-04-13 07:07:14

45

Views

Behavior of a squared-integrable function close to a specific value of $x$.

Published on 13 Apr 2026 - 7:07

score 55 · Answer 3 · 2026-04-11 10:51:52

55

Views

Gram Matrix and Linear Independence on Hilbert spaces source?

Published on 11 Apr 2026 - 10:51

score 57 · Answer 4 · 2026-04-11 21:28:16

57

Views

In the dual to an infinite dimensional Banach space, are the dual vectors defined by how they act on the basis?

Published on 11 Apr 2026 - 21:28

score 166 · Answer 5 · 2026-04-14 17:41:06

166

Views

Understanding the notion of i.i.d. in the Hilbert Space of Square-Integrable Random Variables

Published on 14 Apr 2026 - 17:41

score 58 · Answer 6 · 2026-04-14 03:22:28

58

Views

Misunderstanding of the word "span"?

Published on 14 Apr 2026 - 3:22

score 80 · Answer 7 · 2026-03-25 22:02:41

80

Views

Does unitary operator on a Hilbert space maps a star cyclic vector to a star cyclic vector?

Published on 25 Mar 2026 - 22:02

score 57 · Answer 8 · 2026-04-12 09:35:42

57

Views

Could Hilbert Spaces offer the vehicle to make Synergetic's IVM System Functional?

Published on 12 Apr 2026 - 9:35

score 119 · Answer 9 · 2026-04-14 15:51:35

119

Views

Definition of non measurable sets

Published on 14 Apr 2026 - 15:51

score 64 · Answer 10 · 2026-04-15 21:33:34

64

Views

Show $A \subset B \Leftrightarrow B^{\perp} \subset A^{\perp}$ with $A,B$ subsets of a Hilbert space.

Published on 15 Apr 2026 - 21:33

score 60 · Answer 11 · 2026-04-13 10:28:07

60

Views

Infimum of numerical range = infimum of spectrum?

Published on 13 Apr 2026 - 10:28

score 36 · Answer 12 · 2026-04-10 10:22:43

36

Views

Continuous function of a projection operator is itself?

Published on 10 Apr 2026 - 10:22

score 58 · Answer 13 · 2026-03-26 01:03:26

58

Views

A question about the criterion of diagonalizable normal operator on a Hilbert space (perhaps non-separable).

Published on 26 Mar 2026 - 1:03

score 147 · Answer 14 · 2026-04-13 22:23:37

147

Views

Unconditional convergence implies convergence of sum of norm squares in hilbert space

Published on 13 Apr 2026 - 22:23

score 97 · Answer 15 · 2026-04-17 03:48:29

97

Views

Proving coercivity of a quadratic functional by Hilbert space decomposition and compactness argument

Published on 17 Apr 2026 - 3:48

List Question

Must the domain of a Hilbert space operator be limited to square-summable elements? If so, what type of space does not restrict, thus?

Behavior of a squared-integrable function close to a specific value of $x$.

Gram Matrix and Linear Independence on Hilbert spaces source?

In the dual to an infinite dimensional Banach space, are the dual vectors defined by how they act on the basis?

Understanding the notion of i.i.d. in the Hilbert Space of Square-Integrable Random Variables

Misunderstanding of the word "span"?

Does unitary operator on a Hilbert space maps a star cyclic vector to a star cyclic vector?

Could Hilbert Spaces offer the vehicle to make Synergetic's IVM System Functional?

Definition of non measurable sets

Show $A \subset B \Leftrightarrow B^{\perp} \subset A^{\perp}$ with $A,B$ subsets of a Hilbert space.

Infimum of numerical range = infimum of spectrum?

Continuous function of a projection operator is itself?

A question about the criterion of diagonalizable normal operator on a Hilbert space (perhaps non-separable).

Unconditional convergence implies convergence of sum of norm squares in hilbert space

Proving coercivity of a quadratic functional by Hilbert space decomposition and compactness argument

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