List questions from hilbert-spaces

Published on 01 Apr 2019 - 12:25

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A couple of questions about admissible representations and $K$-finite vectors

Published on 25 Mar 2026 - 6:24

493

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Question about an Incomplete Orthonormal System in $L^2([-\pi,\pi]).$

Published on 29 Mar 2026 - 2:46

68

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Calculate $\inf _{a, b, c \in \mathbb{R}} \int_{-1}^{1}\left|x^{3}-a x^{2}-b x-c\right|^{2} d x$

Published on 27 Mar 2026 - 7:18

352

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Showing the multiplication operator only has closed range for characteristic functions

Published on 26 Mar 2026 - 1:09

42

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Does $ PX_1P+(1-P)X_1(1-P) =PX_2 P+ (1-P)X_2 (1-P)$ imply $X_1=X_2$？

Published on 26 Mar 2026 - 15:16

51

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Does $\operatorname{Tr}(e^x(\lambda,\infty) x) =\operatorname{Tr}(px)$ imply that $e^x(\lambda,\infty) \le p \le e^x[\lambda,\infty)$?

Published on 26 Mar 2026 - 1:01

90

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Using abstract Hilbert spaces to solve differential equations

Published on 29 Mar 2026 - 7:22

542

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Are polynomials dense is L2 of the unit disk?

Published on 26 Mar 2026 - 1:09

306

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Is the L2 limit of a polynomial holomorphic?

Published on 05 Apr 2019 - 4:31

47

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Root of closed operator

Published on 26 Mar 2026 - 19:15

1.3k

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Existence of Orthonormal Basis for Hilbert space.

Published on 07 Apr 2019 - 6:43

58

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to show cardinality in separable Hilbert space setting

Published on 25 Mar 2026 - 12:55

426

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Dual pairing and inner product in a Hilbert space (and in $L^2(V)$)

Published on 25 Mar 2026 - 13:57

367

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Banach space and Hilbert space topology

Published on 29 Mar 2026 - 2:46

List Question

Prove or disprove: the Hilbert-Schmidt norm is independent of the choice of basis on $\mathbb{R^n}$

A couple of questions about admissible representations and $K$-finite vectors

Question about an Incomplete Orthonormal System in $L^2([-\pi,\pi]).$

Calculate $\inf _{a, b, c \in \mathbb{R}} \int_{-1}^{1}\left|x^{3}-a x^{2}-b x-c\right|^{2} d x$

Showing the multiplication operator only has closed range for characteristic functions

Does $ PX_1P+(1-P)X_1(1-P) =PX_2 P+ (1-P)X_2 (1-P)$ imply $X_1=X_2$？

Does $\operatorname{Tr}(e^x(\lambda,\infty) x) =\operatorname{Tr}(px)$ imply that $e^x(\lambda,\infty) \le p \le e^x[\lambda,\infty)$?

Using abstract Hilbert spaces to solve differential equations

Are polynomials dense is L2 of the unit disk?

Is the L2 limit of a polynomial holomorphic?

Root of closed operator

Existence of Orthonormal Basis for Hilbert space.

to show cardinality in separable Hilbert space setting

Dual pairing and inner product in a Hilbert space (and in $L^2(V)$)

Banach space and Hilbert space topology

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