Summability is an important concept in sequence spaces. One summability strongly Cesaro summable. In this paper, we study a subset of the set all vector-valued 2-modular space. Some facts that investigated paper include linearity, existence modular and completeness with respect to these modular.

We address the question of stability quantum trajectories, also referred as filters}. determine limit fidelity between true trajectory and {estimated one}. Under a purification assumption we show that this equals to one meaning filters are stable. In general case, under an identifiability spectral Cesaro mean estimated is same one.

We investigate the relevance of application of game theory to the field of wireless ad-hoc networks. We give distributed algorithms for routing and multihoming in wireless ad-hoc networks. We propose a distributed routing scheme for a broad class of wireless ad-hoc networks which converges (in the Cesaro sense) to the set of Cesaro-Wardrop equilibria. Convergence is established by formulating a...

The present paper is motivated by the observation that Weyl's equidistribution theorem for real sequences on a bounded interval can be formulated in a way which is also meaningful for sequences of self-adjoint operators on a hilbert space. We shall provide general results on weak convergence of operator measures which yield this version of Weyl's theorem as a corollary. Further, by combining th...

Cooperative games offer an elegant framework to model cooperation among self-interested agents. A central question of these games is how to distribute the payoff to each player when all players cooperate and derive some benefits. In this work, we consider cooperative transferable utility games where a subset of players can form a coalition if and only if they are connected in the underlying com...