List questions from hilbert-spaces

Published on 05 Oct 2018 - 22:03

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Questions about uncountable orthonormal bases in Hilbert spaces

Published on 06 Oct 2018 - 8:21

463

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Relation Between Norm and Inner Product

Published on 06 Oct 2018 - 13:37

415

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What does it mean for something to be $L^2(G)$ for compact G

Published on 07 Oct 2018 - 0:04

61

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Strict inequality in a Hilbert Space

Published on 07 Oct 2018 - 13:17

49

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Exercise 7. Chapter 3. Barry Simon.

Published on 26 Mar 2026 - 17:51

79

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Unitary map in hilbert spaces, is anti isometric.

Published on 09 Oct 2018 - 2:26

700

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gram matrix for elements of an infinite dimensional hilbert space

Published on 25 Mar 2026 - 14:01

407

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Let A be a self-adjoint, compact operator on a Hilbert space. Prove that there are positive operators P and N such that A = P − N and P N = 0.

Published on 20 Mar 2026 - 4:30

228

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Orthogonal complement to a span of monomials

Published on 09 Oct 2018 - 20:04

175

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Strongly convergent subsequence $+$ point-wise convergence $\Rightarrow$ strong convergence?

Published on 22 Mar 2026 - 13:26

82

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Uniform boundedness theorem.

Published on 27 Mar 2026 - 10:16

785

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Tensor product of Hilbert spaces - is $\otimes$ distributive with regard to infinite sums?

Published on 11 Oct 2018 - 20:37

193

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Adjoint of operators with dense range

Published on 27 Mar 2026 - 10:44

148

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Examples of unbounded operators whose kernels are not closed

Published on 12 Oct 2018 - 8:20

List Question

Exercise 2, chapter 3 of Barry Simon. A comprehensive course in analysis part 1.

Questions about uncountable orthonormal bases in Hilbert spaces

Relation Between Norm and Inner Product

What does it mean for something to be $L^2(G)$ for compact G

Strict inequality in a Hilbert Space

Exercise 7. Chapter 3. Barry Simon.

Unitary map in hilbert spaces, is anti isometric.

gram matrix for elements of an infinite dimensional hilbert space

Let A be a self-adjoint, compact operator on a Hilbert space. Prove that there are positive operators P and N such that A = P − N and P N = 0.

Orthogonal complement to a span of monomials

Strongly convergent subsequence $+$ point-wise convergence $\Rightarrow$ strong convergence?

Uniform boundedness theorem.

Tensor product of Hilbert spaces - is $\otimes$ distributive with regard to infinite sums?

Adjoint of operators with dense range

Examples of unbounded operators whose kernels are not closed

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