List questions from hilbert-spaces

Published on 25 Mar 2026 - 9:25

398

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Finding eigenvalues of $T + T^*$, where $T$ is the right-shift operator

Published on 25 Mar 2026 - 20:35

931

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orthonormal system which is "complete" but not "closed"

Published on 09 Jul 2018 - 21:32

478

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Isomorphic as inner product spaces

Published on 11 Jul 2018 - 13:01

64

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When $\|f_n\|_{L^2}=1$ where $f_n(x)= f(x-n)+(-1)^n f(x+n)$?

Published on 26 Mar 2026 - 14:34

76

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Exercises on derivative operator on subspaces of $L^2$

Published on 25 Mar 2026 - 23:37

147

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How to show this sequence is in $l^p$

Published on 13 Jul 2018 - 3:01

147

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Confusion about the dual norm

Published on 25 Mar 2026 - 8:08

303

Views

Derivatives in a Hilbert space.

Published on 16 Jul 2018 - 16:26

102

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Find the element representing evaluation at a point in the Hilbert space of $L^2$ holomorphic functions on the disk

Published on 16 Jul 2018 - 20:28

1.1k

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Quadratic form associated to a linear operator in an Hilbert space

Published on 25 Mar 2026 - 3:01

29

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Characterization of spectral measures: Error in exercise?

Published on 25 Mar 2026 - 22:02

38

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Convergent Subsequence of a Sequence in a Gelfand Triple

Published on 23 Feb 2026 - 2:56

1.8k

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For $||x|| \leq ||y||$ is it true that $||x||^4 + ||y||^4 - 2\langle x, y \rangle ^2 \leq 3 ||y||^2 ||x-y||^2$?

Published on 19 Jul 2018 - 8:04

96

Views

Numerically robust Cauchy-Schwarz?

Published on 19 Jul 2018 - 8:28

List Question

Is there a compact operator in $\ell^2$ satisying these properties?

Finding eigenvalues of $T + T^*$, where $T$ is the right-shift operator

orthonormal system which is "complete" but not "closed"

Isomorphic as inner product spaces

When $\|f_n\|_{L^2}=1$ where $f_n(x)= f(x-n)+(-1)^n f(x+n)$?

Exercises on derivative operator on subspaces of $L^2$

How to show this sequence is in $l^p$

Confusion about the dual norm

Derivatives in a Hilbert space.

Find the element representing evaluation at a point in the Hilbert space of $L^2$ holomorphic functions on the disk

Quadratic form associated to a linear operator in an Hilbert space

Characterization of spectral measures: Error in exercise?

Convergent Subsequence of a Sequence in a Gelfand Triple

For $||x|| \leq ||y||$ is it true that $||x||^4 + ||y||^4 - 2\langle x, y \rangle ^2 \leq 3 ||y||^2 ||x-y||^2$?

Numerically robust Cauchy-Schwarz?

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