List questions from hilbert-spaces

Published on 14 Apr 2026 - 14:02

40

Views

Unitary Mapping $U = \lambda I - T$ on $\mathcal H$ // Definition of Unitary

Published on 10 Apr 2026 - 5:56

48

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Behavior of a function in $H^1_0(\mathbb{R})$ at the origin

Published on 14 Apr 2026 - 22:29

45

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Unique solution of a variational equation in a finite dimensional subspace and ceas Lemma

Published on 13 Apr 2026 - 21:35

112

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Prove that the condition $||Tx||=||x||$ for all $x \in H$ is equivalent to $T^*T=Id$

Published on 15 Apr 2026 - 2:45

50

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Renorming to another Euclidean space to decrease the operator norm of a given operator

Published on 11 Apr 2026 - 12:50

64

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Spectra of $\{A_k\}_{k=1}^\infty \cup \{A_\infty\}$ and Continuity of the Spectrum

Published on 13 Apr 2026 - 21:14

70

Views

Hilbert spaces and directed colimit

Published on 13 Apr 2026 - 17:46

77

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Question related to equal Ranges and Null spaces of operators on the Hilbert space

Published on 15 Apr 2026 - 12:49

49

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A ball in $H^m(\Omega)$ is closed under $L^2$-convergence

Published on 13 Apr 2026 - 12:44

54

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sesquilinearform only small on diagonal

Published on 09 Apr 2026 - 17:13

56

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Decomposition of a unitary operator on a non-separable Hilbert space

Published on 13 Apr 2026 - 7:38

51

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Is $A$ an positive operator if $JA$ is a positive operator?

Published on 09 Apr 2026 - 5:08

101

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If $A$ is a densely defined linear operator with a compact inverse, is the spectrum of $A$ dicrete?

Published on 12 Apr 2026 - 22:15

65

Views

Prove Weak convergence in $H$.

Published on 12 Apr 2026 - 7:55

List Question

Sets defined by quotient of inner products (Hilbert space)?

Unitary Mapping $U = \lambda I - T$ on $\mathcal H$ // Definition of Unitary

Behavior of a function in $H^1_0(\mathbb{R})$ at the origin

Unique solution of a variational equation in a finite dimensional subspace and ceas Lemma

Prove that the condition $||Tx||=||x||$ for all $x \in H$ is equivalent to $T^*T=Id$

Renorming to another Euclidean space to decrease the operator norm of a given operator

Spectra of $\{A_k\}_{k=1}^\infty \cup \{A_\infty\}$ and Continuity of the Spectrum

Hilbert spaces and directed colimit

Question related to equal Ranges and Null spaces of operators on the Hilbert space

A ball in $H^m(\Omega)$ is closed under $L^2$-convergence

sesquilinearform only small on diagonal

Decomposition of a unitary operator on a non-separable Hilbert space

Is $A$ an positive operator if $JA$ is a positive operator?

If $A$ is a densely defined linear operator with a compact inverse, is the spectrum of $A$ dicrete?

Prove Weak convergence in $H$.

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