On SI2-continuous Spaces

Continuous Capacities on Continuous State Spaces

We propose axiomatizing some stochastic games, in a continuous state space setting, using continuous belief functions, resp. plausibilities, instead of measures. Then, stochastic games are just variations on continuousMarkov chains. We argue that drawing at random along a belief function is the same as letting the probabilistic player P play first, then letting the non-deterministic player C pl...

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Continuous operators on Hilbert spaces

Among all linear operators on Hilbert spaces, the compact ones (defined below) are the simplest, and most closely imitate finite-dimensional operator theory. In addition, compact operators are important in practice. We prove a spectral theorem for self-adjoint compact operators, which does not use broader discussions of properties of spectra, only using the Cauchy-Schwarz-Bunyakowsky inequality...

Some results on continuous frames for Hilbert Spaces

Continuous Linear Operators on Spaces of Continuous Functions

Throughout this paper X denotes a bicompact space, B(X) denotes the Banach space of all bounded real-valued functions on X, C(X) denotes the closed linear subspace of B(X) of continuous real-valued functions on X, B(N) is denoted by m (where N is the set of positive integers). The space h(X) is the Banach space of all absolutely summable real-valued functions on X and k denotes k(N). The sequen...