List questions from hilbert-spaces

Published on 08 Apr 2026 - 20:49

75

Views

Surjectivity of $T: l_2 \to l_2$ defined as $(x_n)_{n=1}^\infty \mapsto (x_n+x_{n+1})_{n=1}^\infty$

Published on 15 Apr 2026 - 0:53

40

Views

Uniqueness of the conditional probability measure on a Hilbert Lattice

Published on 13 Apr 2026 - 2:21

18

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If $P$ is a projection and $D$ is of trace class, is it true that $\mathrm{tr}(PDP)=\mathrm{tr}(DP)$?

Published on 26 Mar 2026 - 8:03

60

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When is $\rho := e^{-\beta H}$ trace-class?

Published on 13 Apr 2026 - 8:32

87

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$\mathcal{O}(U)$ as a projective limit of Hilbert spaces

Published on 10 Apr 2026 - 20:39

86

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Embedding for Hilbertian Metric?

Published on 14 Apr 2026 - 3:38

52

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Equivalent norm on sobolev spaces

Published on 13 Apr 2026 - 20:52

21

Views

Linear least squares involving linear functionals

Published on 13 Apr 2026 - 8:32

28

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Is convexity necessary for the existence of a shortest-norm vector?

Published on 12 Apr 2026 - 20:07

30

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Extraction of a basis of a closed, non-empty subspace of an Hilbert Space

Published on 17 Apr 2026 - 2:50

127

Views

An orthonormal sequence in an inner product space converges weakly to $0$.

Published on 16 Apr 2026 - 9:54

51

Views

Diagonalizability of a self-adjoint, diagonalizable operator restriscted to an invariant subspace

Published on 13 Apr 2026 - 4:44

86

Views

Is the composition of positive, self-adjoint operators on a Hilbert space positive?

Published on 26 Mar 2026 - 11:17

67

Views

Notation for a subspace of $H^1(\mathbb{R})$

Published on 13 Apr 2026 - 1:48

List Question

Necessary and Sufficient Conditions for an Operator to be Zero

Surjectivity of $T: l_2 \to l_2$ defined as $(x_n)_{n=1}^\infty \mapsto (x_n+x_{n+1})_{n=1}^\infty$

Uniqueness of the conditional probability measure on a Hilbert Lattice

If $P$ is a projection and $D$ is of trace class, is it true that $\mathrm{tr}(PDP)=\mathrm{tr}(DP)$?

When is $\rho := e^{-\beta H}$ trace-class?

$\mathcal{O}(U)$ as a projective limit of Hilbert spaces

Embedding for Hilbertian Metric?

Equivalent norm on sobolev spaces

Linear least squares involving linear functionals

Is convexity necessary for the existence of a shortest-norm vector?

Extraction of a basis of a closed, non-empty subspace of an Hilbert Space

An orthonormal sequence in an inner product space converges weakly to $0$.

Diagonalizability of a self-adjoint, diagonalizable operator restriscted to an invariant subspace

Is the composition of positive, self-adjoint operators on a Hilbert space positive?

Notation for a subspace of $H^1(\mathbb{R})$

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