Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces

A compact connected Riemannian manifold of positive constant curvature 1 with cyclic fundamantal group is called a lens space.. The purpose of this paper is to show that there are

They start with a family of Banach spaces associated with the boundary of the unit disk d in C (the set of complex numbers) and, for each complex number in the

In analogy to ordinary Banach space theory, we could consider the dual space of the Banach space B to be the sheaf of R- or *R-valued.. continuous linear functionals

logical vector space V which is bounded, closed and absolutely convex (circled convex) and complete in its self-induced norm ( see below).. The norm and the

(see Proposition 2.3) There exists a countable group admitting an affine isometric action with dense orbits on an infinite dimensional Hilbert space, in such a way that every

(see Proposition 5.2) There exists an affine isometric action of Z on a complex Hilbert space, that is neither metrically proper nor bounded, and whose linear part has

The property of being a weak closed subfield is not preserved under all the operations, as we can see in the case of the direct sum of two disjoint subfields..

Abstract We give a review of results on the operator-norm convergence of the Trot- ter product formula on Hilbert and Banach spaces, which is focused on the problem of its