Real-valued conditional convex risk measures in lp(ℱ, r)The numerical representation of convex risk measures beyond essentially bounded financial positions is an important topic which has been the theme of recent literature....
The algebras of bounded and essentially bounded lebesgue measurable functions... It is well known that the spectrum of the algebra L∞(X) of (equivalence classes) of essentially bounded, complex-valued, measurable functions on X is an extremely disconnected compact Hausdorff space.We...
Analyticity of essentially bounded solutions to semilinear parabolic systems and validity of the ginzburg-landau equation... These properties are expressed in terms of holomorphic continuation in space and time of essentially bounded global solutions to the system....
Schrödinger operators on graphs and geometry i: essentially bounded potentials ... It is proven that the Euler characteristic of the graph can be calculated from the spectrum of the Schrödinger operator in the case of essentially bounded real potentials and standard boundary conditions at the vertices....
