Von Neumann introduced the study of rings of operators, through the von Neumann algebras. A von Neumann algebra is a *-algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator. The von Neumann bicommutant theorem shows that the analytic definition is equivalent to a purely algebraic definition as an algebra of symmetries. The direct integral was introduced in 1949 by John von Neumann. One of von Neumann's analyses was to reduce the classification of von Neumann algebras on separable Hilbert spaces to the classification of factors.
What is von Neumann algebra?
algebra of bounded operators on a Hilbert space that is closed in the weak operator topology and contains the identity operator

At her Silver Jubilee in 1977, the crowds and celebrations were genuinely enthusiastic, but in the 1980s, public criticism of the royal family increased, as the personal and working lives of Elizabeth's children came under media scrutiny. Elizabeth's popularity sank to a low point in the 1990s. Under pressure from public opinion, she began to pay income tax for the first time, and Buckingham Palace was opened to the public. Discontent with the monarchy reached its peak on the death of Diana, Princess of Wales, though Elizabeth's personal popularity and support for the monarchy rebounded after her live television broadcast to the world five days after Diana's death.
What was the main subject of public criticism in the 80's?
royal family

"First of all, a samurai who dislikes battle and has not put his heart in the right place even though he has been born in the house of the warrior, should not be reckoned among one's retainers....It is forbidden to forget the great debt of kindness one owes to his master and ancestors and thereby make light of the virtues of loyalty and filial piety....It is forbidden that one should...attach little importance to his duties to his master...There is a primary need to distinguish loyalty from disloyalty and to establish rewards and punishments."
What debt should samurai not forget?
the great debt of kindness one owes to his master and ancestors