It is well known that the absolute value map on the self-adjoint operators on an infinite dimensional Hilbert spaces is not Lipschitz continuous, although Lipschitz continuity holds on certain subsets of operators. In this note, we provide an elementary proof that the absolute value map is Lipschitz continuous on the set of all operators which are bounded below in norm by any fixed positive con...

In this paper we study the existence of subharmonic solutions of the Hamiltonian system Jẋ + u∗∇G(t, u(x)) = e(t) where u is a linear map, G is a C-function and e is a continuous function.

Many of the properties of the well-known Kohonen map algorithm are not easily derivable from its discrete formulation. For instance, the “projection” implemented by the map from a high dimensional input space to a lower dimensional map space must be properly regarded as a projection from a smooth manifold to a lattice and, in this framework, some of its property are not easily identified. This ...

We investigate the Mott transition in innnite dimensions in the orbitally degenerate Hubbard model. We nd that the qualitative features of the Mott transition found in the one band model are also present in the orbitally degenerate case. Surprisingly, the quantitative aspects of the transition around density one are not very sensitive to orbital degeneracy, justifying the quantitative success o...

We show how to recursively construct all self–dual maps on the sphere together with their self–dualities, and classify them according to their edge–permutations. Although several well known classes of self–dual graphs, e.g., the wheels, have been known since the last century, [7], the general characteristics of self–dual graphs have only recently begun to be explored. In [10] two constructions ...

A topological space is said to have the fixed point property if every continuous self-map of it has at least one fixed point. In this text, we investigate the additional restraints imposed by the requirement that a fixed point can be chosen continuously when the self-map is varied continuously. While we are able to present a class of universal fixed point spaces, where this is always possible, ...

during an 11 days mission in february 2000 the shuttle radar topography mission (srtm) collected data over 80% of the earth's land surface, for all areas between 60 degrees n and 56 degrees s latitude. since srtm data became available, many studies utilized them for application in topography and morphometric landscape analysis. exploiting srtm data for recognition and extraction of topographic ...

Abstract The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, scalar weighted assuming to be minihedral. Appropriate examples applications validate theory. Further, we provide one more answer question existence contractive condition Cone so that point is at discontinuity a map. Also, negative natur...

We investigate the Mott transition in infinite dimensions in the orbitally degenerate Hubbard model. The qualitative features of the Mott transition found in the one-band model are also present in the orbitally degenerate case. We show that the quantitative aspects of the low-energy behavior near the Mott insulating state with one electron per site are not very sensitive to orbital degeneracy, ...

Using the self-consistent Born approximation we calculate Reiter’s wavefunction for a single hole introduced into the undoped and orbitally ordered ground state of the t–J model with t2g orbital degrees of freedom. While the number of excitations is similar to the spin t-J model for a given J/t, a distinct structure of the calculated wavefunction and its momentum dependence is identified sugges...