(1) Note that the 20 x 20 entries of the resolvent can be calculated separately and independently of each other.(2) Geometrically the resolvent enables us to resolve the whole spread represented by any given set of algebraic equations into definite irreducible spreads.(3) The most significant aspect of Waring's treatment of this example is the symmetric relation between the roots of the quartic equation and its resolvent cubic.(4) We also discuss cases where the norm of the resolvent of a bounded linear operator cannot be constant on an open set.(5) We refer to this method as resolvent method and briefly review it in the Resolvent Method section.(6) If A is a closed, densely defined linear operator on H, then the resolvent set is an open. subset of the complex plane.
