Geodesic
On the Adjoint and the Closure of the Sum of Two Unbounded Operators
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 498-505

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DOI

We prove, under some conditions on the domains, that the adjoint of the sum of two unbounded operators is the sum of their adjoints in both Hilbert and Banach space settings. A similar result about the closure of operators is also proved. Some interesting consequences and examples “spice up” the paper.
DOI : 10.4153/CMB-2011-041-7
Mots-clés : 47A05, unbounded operators, sum and products of operators, Hilbert and Banach adjoints, self-adjoint operators, closed operators, closure of operators 
Mortad, Mohammed Hichem. On the Adjoint and the Closure of the Sum of Two Unbounded Operators. Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 498-505. doi: 10.4153/CMB-2011-041-7
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     title = {On the {Adjoint} and the {Closure} of the {Sum} of {Two} {Unbounded} {Operators}},
     journal = {Canadian mathematical bulletin},
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     year = {2011},
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     doi = {10.4153/CMB-2011-041-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-041-7/}
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