List questions from hilbert-spaces

Published on 26 Mar 2026 - 1:26

107

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Special case of chain rule

Published on 13 Apr 2026 - 16:38

27

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Is the dual of a unitary operator on a Hilbert space always a continous linear operator?

Published on 10 Apr 2026 - 2:22

55

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Brezis' proposition 7.2: how does the writing $A\left(A_\lambda v\right)$ make sense?

Published on 13 Apr 2026 - 9:33

223

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Does there exist a Cauchy-complete, non-Archimedean ordered field that is not isomorphic to a field extension of $\mathbb{R}$?

Published on 14 Apr 2026 - 16:04

52

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Brezis' lemma 7.1: is it true that $w$ is $C^1$ implies $w$ is $C^\infty$?

Published on 15 Apr 2026 - 5:08

76

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Compact operator in $\ell_2$

Published on 11 Apr 2026 - 13:45

74

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Brezis' proof of Hille-Yosida theorem: how to obtain $|\frac{d u_n}{d t}(t)-\frac{d u_m}{d t}(t)| \le |A u_{0 n}-A u_{0 m}|$?

Published on 16 Apr 2026 - 13:10

69

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Does every infinite-dimensional Banach space admit an "almost orthonormal" infinite set?

Published on 13 Apr 2026 - 14:26

27

Views

The set $D(A^k)$ is a Hilbert space for the inner product $\langle u, v \rangle_{D(A^k)} := \sum_{j=0}^k \langle A^j u, A^j v \rangle$

Published on 16 Apr 2026 - 5:35

63

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Brezis' theorem 7.5: how is $A_1$ maximal monotone in $H_1$?

Published on 14 Apr 2026 - 3:54

75

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Is this stronger conclusion in Hille-Yosida theorem true?

Published on 13 Apr 2026 - 11:21

46

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Commutator of self-adjoint operator with semigroup generated by another self-adjoint operator

Published on 25 Mar 2026 - 18:49

120

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Spectrum of "infinite-Gram matrix"?

Published on 10 Apr 2026 - 21:24

94

Views

When is the equality $\|A^n\| = \|A\|^n$ achieved for a bounded linear operator $A$?

Published on 14 Apr 2026 - 11:21

List Question

Isometry in the Riesz representation theorem

Special case of chain rule

Is the dual of a unitary operator on a Hilbert space always a continous linear operator?

Brezis' proposition 7.2: how does the writing $A\left(A_\lambda v\right)$ make sense?

Does there exist a Cauchy-complete, non-Archimedean ordered field that is not isomorphic to a field extension of $\mathbb{R}$?

Brezis' lemma 7.1: is it true that $w$ is $C^1$ implies $w$ is $C^\infty$?

Compact operator in $\ell_2$

Brezis' proof of Hille-Yosida theorem: how to obtain $|\frac{d u_n}{d t}(t)-\frac{d u_m}{d t}(t)| \le |A u_{0 n}-A u_{0 m}|$?

Does every infinite-dimensional Banach space admit an "almost orthonormal" infinite set?

The set $D(A^k)$ is a Hilbert space for the inner product $\langle u, v \rangle_{D(A^k)} := \sum_{j=0}^k \langle A^j u, A^j v \rangle$

Brezis' theorem 7.5: how is $A_1$ maximal monotone in $H_1$?

Is this stronger conclusion in Hille-Yosida theorem true?

Commutator of self-adjoint operator with semigroup generated by another self-adjoint operator

Spectrum of "infinite-Gram matrix"?

When is the equality $\|A^n\| = \|A\|^n$ achieved for a bounded linear operator $A$?

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