Sentence 1: A JW - Algebra is a Jordan - Subalgebra of the Jordan - Algebra of self-weak operators on a complex Hilbert - space closed in the adjuncted operator - topology .
Sentence 2: A JW algebra is a Jordan subalgebra of the Jordan algebra of self-weak operators on a complex Hilbert space that is closed in the adjoint operator topology .
Question: Do Sentence 1 and Sentence 2 express the same meaning? Yes or No?