On the Commutativity of Closed Symmetric Operators.

Autor: Dehimi, S., Mortad, M. H., Bachir, A.
Zdroj: Analysis Mathematica; Sep2023, Vol. 49 Issue 3, p721-731, 11p
Abstrakt: In this paper, we mainly show that if a product AB (or BA) of a closed symmetric operator A and a bounded positive operator B is normal, then it is self-adjoint. Equivalently, this means that B commutes with A. Certain generalizations and consequences are also presented. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index