Domain characterizations of strong commutativity of unbounded self‐adjoint operators

Abstract Let and be unbounded self‐adjoint operators on a Hilbert space. Suppose that there exists a dense linear subspace such that for . We give some characterizations of the strong commutativity of and in terms of domain equalities.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2026-10-28
DOI
https://doi.org/10.1112/blms.70535
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Domain characterizations of strong commutativity of unbounded self‐adjoint operators

Konrad Schmüdgen
Bulletin of the London Mathematical Society
Spectral Theory in Mathematical Physics
article

Domain characterizations of strong commutativity of unbounded self‐adjoint operators

Konrad Schmüdgen
article en

Abstract

Abstract Let and be unbounded self‐adjoint operators on a Hilbert space. Suppose that there exists a dense linear subspace such that for . We give some characterizations of the strong commutativity of and in terms of domain equalities.

Bulletin of the London Mathematical SocietyVol. 58(11)
Leipzig University (DE)
Openalex Percentile: Top 7%
Spectral Theory in Mathematical Physics
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Domain characterizations of strong commutativity of unbounded self‐adjoint operators — Konrad Schmüdgen · Bulletin of the London Mathematical Society (2026) | TGRS Research Map | TGRS