A new inequality between angles in inner product spaces is formulated and proved. It leads directly to a concise statement and proof of the generalized Wielandt inequality, including a simple description of all cases of ...

Some new Hardy-type inequalities for Hardy-Volterra integral operators are proved and discussed. The case 1 < q < p < 1 is considered and the involved kernels satisfy conditions, which are less restrictive than the usual ...

Let F(u) = h be a solvable operator equation in a Banach space X with a Gateaux di erentiable norm. Under minimal smoothness assumptions on F, su cient conditions are given for the validity of the Dynamical Systems Method ...