Geodesic
On Operator Sum and Product Adjoints and Closures
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 456-463

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DOI

We comment on domain conditions that regulate when the adjoint of the sum or product of two unbounded operators is the sum or product of their adjoints, and related closure issues. The quantum mechanical problem $\text{PHP}$ essentially selfadjoint for unbounded Hamiltonians is addressed, with new results.
DOI : 10.4153/CMB-2011-074-3
Mots-clés : 47A05, unbounded operators, adjoints of sums and products, quantum mechanics 
Gustafson, Karl. On Operator Sum and Product Adjoints and Closures. Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 456-463. doi: 10.4153/CMB-2011-074-3
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     title = {On {Operator} {Sum} and {Product} {Adjoints} and {Closures}},
     journal = {Canadian mathematical bulletin},
     pages = {456--463},
     year = {2011},
     volume = {54},
     number = {3},
     doi = {10.4153/CMB-2011-074-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-074-3/}
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