Geodesic
Minimal and Maximal Operator Theory With Applications
Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 617-627

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be a complex Banach space and A a linear operator from X into X with dense domain. We construct the minimal and maximal operators of the operator A and prove that they are equal under reasonable hypotheses on the space X and operator A. As an application, we obtain the existence and regularity of weak solutions of linear equations on the space X. As another application we obtain a criterion for a symmetric operator on a complex Hilbert space to be essentially self-adjoint. An application to pseudo-differential operators of the Weyl type is given.
DOI : 10.4153/CJM-1991-036-7
Mots-clés : 17B50, 17B20 
Wong, M. W. Minimal and Maximal Operator Theory With Applications. Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 617-627. doi: 10.4153/CJM-1991-036-7
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