we consider the transitive linear maps on the operator algebra $b(x)$for a separable banach space $x$. we show if a bounded linear map is norm transitive on $b(x)$,then it must be hypercyclic with strong operator topology. also we provide a sot-transitivelinear map without being hypercyclic in the strong operator topology.

These are both correct implementations, but their operational behavior is very different. The first one, when given the argument 2, performs just one step of computation and returns a function. In an operational semantics based on closures, it would return a closure; here we just carry out the substitutions. We write M −→ M ′ for computational reduction which is based on local reduction but ext...

The free lattice-ordered group Fn (of rank r¡) has been studied in two ways: via the Conrad representation on the various right orderings of the free group Gv (sharpened by Kopytov's observation that some one right ordering must by itself give a faithful representation), and via the Glass-McCleary representation as a pathologically o-2-transitive /-permutation group. Each kind of representation...

A decomposition of a graph is a partition of the edge set. One can also look at partitions of the arc set but in this talk we restrict our attention to edges. If each part of the decomposition is a spanning subgraph then we call the decomposition a factorisation and the parts are called factors. Decompositions are especially interesting when the subgraphs induced by each part are pairwise isomo...

A regular edge but not vertex transitive graph is said to be semisym metric The study of semisymmetric graphs was initiated by Folkman who among others gave constructions of several in nite families such graphs In this paper a generalization of his construction for or ders a multiple of is proposed giving rise to some new families of semisymmetric graphs In particular one associated with the cy...

According to the original description by Rizzolatti and colleagues, the prerequisite of triggering the discharge of mirror neurons (MNs) is the interaction of the hand with an object. On the other hand, several studies reported that the MN system in humans can be activated also by non object-directed (intransitive) movements. This difference between human and monkey MN systems has been consider...

Slovenija Abstract A vertex-transitive graph is said to be 1 2-transitive if its automor-phism group is vertex and edge but not arc-transitive. Some recent results on 1 2-transitive graphs are given, a few open problems proposed , and possible directions in the research of the structure of these graphs discussed. 1 In the beginning Throughout this paper graphs are simple and, unless otherwise s...