List questions from hilbert-spaces

Published on 13 Apr 2026 - 10:21

65

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Operator Norm in $L^2$ Space

Published on 12 Apr 2026 - 19:07

38

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If all features of a kernel $k$ are contained in a RKHS $H$, does then $H(k)\subset H$?

Published on 10 Apr 2026 - 16:08

61

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Relationship between strong and weak operator topologies

Published on 11 Apr 2026 - 16:52

37

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Closure of non-dense subspaces on Hilbert spaces

Published on 13 Apr 2026 - 12:18

17

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Interchange of the integral and bounded linear map on separable Hilbert spaces

Published on 13 Apr 2026 - 21:27

54

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Essential spectrum of an convolution and function multiplying operator

Published on 11 Apr 2026 - 6:21

118

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Show that the set $C := \left\{\left.\sum_{j=1}^\infty\lambda_j e_j\right|\, \lambda_j \in \mathbb{K},\,|\lambda_j| \leq a_j\right\}$ is compact in H.

Published on 15 Apr 2026 - 8:16

45

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Clarifying Inverse Relation in Proof of Unitary Operator Theorem (Theorem 25.2 in Halmos)

Published on 16 Apr 2026 - 15:10

35

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exercise 4.1.4 on page 81 in Berberian's "Introduction to Hilbert Space"

Published on 17 Apr 2026 - 6:22

60

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Limit of the scalar product with a sequence of linear operators

Published on 14 Apr 2026 - 8:17

70

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What are invariant closed subspaces of $l^2(\mathbb{Z})$ under right shift operator?

Published on 10 Apr 2026 - 6:47

37

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Orthonormal Basis of $L^2[0,1]$ having indicator functions?

Published on 15 Apr 2026 - 19:38

49

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Spectrum of unilateral shift and weighted operators

Published on 10 Apr 2026 - 15:30

144

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Spectrum of a sum of self-adjoint operators

Published on 11 Apr 2026 - 7:38

List Question

The converse for the basis of tensor product of Hilbert spaces

Operator Norm in $L^2$ Space

If all features of a kernel $k$ are contained in a RKHS $H$, does then $H(k)\subset H$?

Relationship between strong and weak operator topologies

Closure of non-dense subspaces on Hilbert spaces

Interchange of the integral and bounded linear map on separable Hilbert spaces

Essential spectrum of an convolution and function multiplying operator

Show that the set $C := \left\{\left.\sum_{j=1}^\infty\lambda_j e_j\right|\, \lambda_j \in \mathbb{K},\,|\lambda_j| \leq a_j\right\}$ is compact in H.

Clarifying Inverse Relation in Proof of Unitary Operator Theorem (Theorem 25.2 in Halmos)

exercise 4.1.4 on page 81 in Berberian's "Introduction to Hilbert Space"

Limit of the scalar product with a sequence of linear operators

What are invariant closed subspaces of $l^2(\mathbb{Z})$ under right shift operator?

Orthonormal Basis of $L^2[0,1]$ having indicator functions?

Spectrum of unilateral shift and weighted operators

Spectrum of a sum of self-adjoint operators

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