Mohammed Hichem Mortad
Published 2013-01-02, updated 2013-01-11Version 3
In this paper we give and prove a criterion for the normality of unbounded closed operators, which is a sort of a maximality result which will be called "double maximality". As applications, we show, under some assumptions, that the sum of two symmetric operators is essentially self-adjoint; and that the sum of two unbounded normal operators is essentially normal. Some other important results are also established.
On ideals of polynomials and their applications
A T(1)-Theorem in relation to a semigroup of operators and applications to new paraproducts
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
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