On commuting unbounded self-adjoint operators II

Schm�dgen, Konrad; Friedrich, Jürgen

doi:10.1007/bf01195869

Cited by 16 publications

(7 citation statements)

References 7 publications

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“…Probably due to the complexity of the question, not much was done for perturbed normal operators (we mention the references [1,12,13] where some perturbation of normal operators was dealt with, in a very different context though).…”

Section: If B Is Also Symmetric and If A Is Self-adjoint Then A + B mentioning

confidence: 99%

On the Normality of the Sum of Two Normal Operators

Mortad

2010

Complex Anal. Oper. Theory

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Section: If B Is Also Symmetric and If A Is Self-adjoint Then A + B mentioning

confidence: 99%

On the Normality of the Sum of Two Normal Operators

Mortad

2010

Complex Anal. Oper. Theory

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“…The quasianalyticity is used by the criterion of self-adjointness and commutativity [3,5,6,21,22] (see also [26]). …”

Section: Theorem 23 For the Normal Operator N With A Strong Cyclic Vmentioning

confidence: 99%

On the complex moment problem

Berezansky

Dudkin

2006

Mathematische Nachrichten

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“…It is likely that this von Neumann algebra is a type III factor. There is a sequence of interesting papers by K. Schmudgen on dealing with some of this [Sch84,SF84,Sch85,Sch86b,Sch86a]. In any case, the properties of the von Neumann algebra depend on the defect space (4.16) for the M -Laplacian L .…”

Section: Proof the Two Operatorsmentioning

confidence: 99%

Unbounded Operators, Lie Algebras, and Local Representations

Jørgensen¹,

Tian²

2014

Operator Theory

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Abstract. We prove a number of results on integrability and extendability of Lie algebras of unbounded skew-symmetric operators with common dense domain in Hilbert space. By integrability for a Lie algebra g, we mean that there is an associated unitary representation U of the corresponding simply connected Lie group such that g is the differential of U. Our results extend earlier integrability results in the literature; and are new even in the case of a single operator. Our applications include a new invariant for certain Riemann surfaces.

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On commuting unbounded self-adjoint operators II

Cited by 16 publications

References 7 publications

On the Normality of the Sum of Two Normal Operators

On the Normality of the Sum of Two Normal Operators

On the complex moment problem

Unbounded Operators, Lie Algebras, and Local Representations

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