List questions from hilbert-spaces

Published on 26 Mar 2026 - 5:56

46

Views

Show that the integers $0$, $1$ and $3$ are eigenvalues of $T : L^2[-\pi, \pi] \to L^2[-\pi, \pi]$

Published on 19 Feb 2020 - 12:54

145

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Functional Analysis: Projection linear operator

Published on 20 Feb 2020 - 10:57

88

Views

Orthonormal basis for $L^2[a,b]$

Published on 21 Feb 2020 - 5:30

116

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Complete sequence in $L^2[0,1]$

Published on 21 Feb 2020 - 7:33

261

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Are inner products always dominated by the norm of tensor products?

Published on 29 Mar 2026 - 14:25

36

Views

Poincaré inequlity

Published on 04 Apr 2026 - 6:22

38

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Why is $E(Y|X)$ is projection of $Y$(so that error is zero) on plane containing all functions of X and passing through origin?

Published on 31 Mar 2026 - 10:17

963

Views

Legendre polynomials in $L^2[-1,1]$

Published on 22 Feb 2020 - 13:17

71

Views

Cauchy sequence $S_{n}= \sum_{j=1}^{n} \langle x,x_{\alpha}\rangle x_{a}$ in Hilbert space

Published on 27 Mar 2026 - 2:37

143

Views

The wave equation Energy - Reversibility in time

Published on 26 Mar 2026 - 22:13

56

Views

Modified trigonometric system

Published on 23 Feb 2020 - 4:44

20

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Equality of an operator equation

Published on 23 Feb 2020 - 20:09

127

Views

Bounded Linear Map on a Hilbert Space

Published on 24 Feb 2020 - 2:46

133

Views

Kernel of a closed operator

Published on 06 Apr 2026 - 14:33

List Question

Duality product - Inequality

Show that the integers $0$, $1$ and $3$ are eigenvalues of $T : L^2[-\pi, \pi] \to L^2[-\pi, \pi]$

Functional Analysis: Projection linear operator

Orthonormal basis for $L^2[a,b]$

Complete sequence in $L^2[0,1]$

Are inner products always dominated by the norm of tensor products?

Poincaré inequlity

Why is $E(Y|X)$ is projection of $Y$(so that error is zero) on plane containing all functions of X and passing through origin?

Legendre polynomials in $L^2[-1,1]$

Cauchy sequence $S_{n}= \sum_{j=1}^{n} \langle x,x_{\alpha}\rangle x_{a}$ in Hilbert space

The wave equation Energy - Reversibility in time

Modified trigonometric system

Equality of an operator equation

Bounded Linear Map on a Hilbert Space

Kernel of a closed operator

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