Convexity properties of generalized moment maps

Convexity Properties of Twisted Root Maps

The strong spectral order induces a natural partial ordering on the manifold Hn of monic hyperbolic polynomials of degree n. We prove that twisted root maps associated with linear operators acting on Hn are G̊arding convex on every polynomial pencil and we characterize the class of polynomial pencils of logarithmic derivative type by means of the strong spectral order. Let A be the monoid of lin...

Some Properties of Generalized Higher-order Convexity

The generalized divided differences are introduced. They are applied to investigate some properties characterizing generalized higher-order convexity. Among others some support-type property is proved.

On Some Convexity Properties of Generalized Cesáro Sequence Spaces

We define a generalized Cesáro sequence space and consider it equipped with the Luxemburg norm under which it is a Banach space, and we show that it is locally uniformly rotund. 2000 Mathematics Subject Classification: 46E30, 46E40, 46B20.

Convexity of Moment Polytopes of Algebraic Varieties

We consider the situation of a compact irreducible subvariety of a smooth compact complex variety equipped with a Kähler form preserved by a torus action. We study the image of that subvariety under the moment map of the Kähler form. 1. Main result The moment map of a Hamiltonian T -symplectic/Kähler manifold has been one of the main interests of study for mathematical as well as physical reaso...

Convexity Properties of Graamannians