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.

We address the theoretical problems of optical ow estimation and image registration in a multi-scale framework in any dimension. We start by showing, in the translation case, that convergence to the global minimum is made easier by applying a low pass lter to the images hence making the energy \convex enough". In order to keep convergence to the global minimum in the general case, we introduce ...

Let T = α0I + α1D + · · · + αnD n , where D is the differentiation operator and α0 = 0, and let f be a square-free polynomial with large minimum root separation. We prove that the roots of T f are close to the roots of f translated by −α1/α0.

In this paper, we present a novel parallel implementation of a high fidelity inverse tone mapping operator. Our method makes use of point based graphics to accelerate density estimation, and multi-core CPUs for extracting light sources. We show that our method can achieve real-time performance on a lower-end graphics card, with minimum loss of quality.

This paper develops complementarity constraints for nonlinear feedback control systems with additive output disturbances and sensor noise, and for nonlin-ear ltering in the presence of process noise and additive measurement noise. In the control case, the complementarity constraint is the nonlinear counterpart of the well known fact in linear feedback control theory that the sum of the sensitiv...

This paper gives a generalization of the Pseudo-Laplace transform. In the special cases of semirings, the pseudo-exchange formula is proved. Also, for these semirings the forms of the Pseudo-Laplace transform and inverse operator are given. The results can be applied in dynamical programming for finding the maximum and minimum of the utility functions. AMS Mathematics Subject Classification (19...

Let T be a weighted shift operator T on the Hilbert space 2(N) with geometric weights. Then the numerical range of T is a closed disk about the origin, and its numerical radius is determined in terms of the reciprocal of the minimum positive root of a hypergeometric function. This function is related to two Rogers-Ramanujan identities.

Let T = α0I + α1D + · · · + αnD n , where D is the differentiation operator and α0 = 0, and let f be a square-free polynomial with large minimum root separation. We prove that the roots of T f are close to the roots of f translated by −α1/α0.

For any controllable linear system it is clear that the minimum control energy must increase unboundedly as the available time for exact control decreases to 0. This is made precise, obtaining asymptotically O(T−(K+1/2) behavior for the norm of the control operator where K is the order of the ‘least controllable’ modes (the minimal exponent for the rank condition).

In this paper, we state some results on product of operators with closed ranges and we solve the operator equation $TXS^*-SX^*T^*= A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $TS = 1$. Furthermore, by using some block operator matrix techniques, we nd explicit solution of the operator equation $TXS^*-SX^*T^*= A$.