A note on $\varepsilon $-maps onto manifolds.

A Note on Spectrum Preserving Additive Maps on C*-Algebras

Mathieu and Ruddy proved that if be a unital spectral isometry from a unital C*-algebra Aonto a unital type I C*-algebra B whose primitive ideal space is Hausdorff and totallydisconnected, then is Jordan isomorphism. The aim of this note is to show that if be asurjective spectrum preserving additive map, then is a Jordan isomorphism without the extraassumption totally disconnected.

A Note on Quadratic Maps for Hilbert Space Operators

In this paper, we introduce the notion of sesquilinear map on Β(H) . Based on this notion, we define the quadratic map, which is the generalization of positive linear map. With the help of this concept, we prove several well-known equality and inequality...  

Stable Exponentially Harmonic Maps Between Finsler Manifolds

A Note on Open Maps

In [l ] E. E. Floyd proved that if X and Y are Peano continua and f: X—>F is light, open, and onto, then the covering homotopy property for a point holds. Here we will prove (Theorem 1) that under different (roughly speaking, more general) conditions the covering homotopy property for a point holds up to a homotopy. This has certain implications on the induced homomorphism of the fundamental gr...

A Note on Distribution Spaces on Manifolds

Twenty-six different concrete representations of the space of vector valued distributions on a smooth manifold of dimension n are presented systematically, most of them new. In the particular case of representations as module homomorphisms acting on sections of the dual bundle resp. on n-forms, the continuity of these homomorphisms is already a consequence of their algebraic properties. AMS Mat...