List questions from hilbert-spaces

Published on 13 Apr 2026 - 16:58

64

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Derivative of a continuous bilinear form

Published on 28 Mar 2026 - 10:03

80

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Deficiency indices of the restriction of a self-adjoint operator to the kernel of a rank-one functional

Published on 26 Mar 2026 - 1:23

27

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Confusion about the tensor product of Hilbert spaces and tensor product of smooth vector fields

Published on 13 Apr 2026 - 2:41

68

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Brezis' exercise 5.15

Published on 13 Apr 2026 - 18:17

73

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Brezis' exercise 5.19

Published on 10 Apr 2026 - 5:03

41

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Is the complex conjugate of an innner product the inner product of the complex conjugates

Published on 14 Apr 2026 - 2:32

20

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Question on Theorem 12.21 of Rudin's Functional analysis: Constructing a *-isomorphism between the Banach algebras $L^\infty(E)$ and an algebra $A$

Published on 11 Apr 2026 - 19:21

111

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Proof of Bessel inequality by orthogonal projectors

Published on 10 Apr 2026 - 2:50

74

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Brezis' exercise 5.20.1

Published on 05 May 2023 - 16:23

72

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Assume $\langle Su, u \rangle \ge 0$ for all $u \in H$. Is it true that $R(S) = R(S^*)$?

Published on 05 May 2023 - 16:36

86

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Adjoint of the Dual Map

Published on 10 Apr 2026 - 13:16

28

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Norm of operator acting on a basis vector in $l^2$

Published on 13 Apr 2026 - 20:41

40

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On showing that the adjoint of a closable unbounded operator $A$ on a Hilbert space $H$ agrees with the adjoint of the closed extension

Published on 25 Mar 2026 - 17:21

108

Views

How to prove that $I + t S$ is surjective?

Published on 13 Apr 2026 - 7:49

List Question

Brezis' exercise 5.14

Derivative of a continuous bilinear form

Deficiency indices of the restriction of a self-adjoint operator to the kernel of a rank-one functional

Confusion about the tensor product of Hilbert spaces and tensor product of smooth vector fields

Brezis' exercise 5.15

Brezis' exercise 5.19

Is the complex conjugate of an innner product the inner product of the complex conjugates

Question on Theorem 12.21 of Rudin's Functional analysis: Constructing a *-isomorphism between the Banach algebras $L^\infty(E)$ and an algebra $A$

Proof of Bessel inequality by orthogonal projectors

Brezis' exercise 5.20.1

Assume $\langle Su, u \rangle \ge 0$ for all $u \in H$. Is it true that $R(S) = R(S^*)$?

Adjoint of the Dual Map

Norm of operator acting on a basis vector in $l^2$

On showing that the adjoint of a closable unbounded operator $A$ on a Hilbert space $H$ agrees with the adjoint of the closed extension

How to prove that $I + t S$ is surjective?

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