On a reflexive Banach space X , if an operator T admits a functional calculus for the absolutely continuous functions on its spectrum σ(T ) ⊆ R, then this functional calculus can always be extended to include all the functions of bounded variation. This need no longer be true on nonreflexive spaces. In this paper, it is shown that on most classical separable nonreflexive spaces, one can constru...

let $t$ be a bounded operator on the banach space $x$ and $ph$ be an analytic self-map of the unit disk $bbb{d}$‎. ‎we investigate some operator theoretic properties of‎ ‎bilateral composition operator $c_{ph‎, ‎t}‎: ‎f ri t circ f circ ph$ on the vector-valued hardy space $h^p(x)$ for $1 leq p leq‎ ‎+infty$.‎ ‎compactness and weak compactness of $c_{ph‎, ‎t}$ on $h^p(x)$‎ ‎are characterized an...

this paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   the main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

A cubic polynomial with a marked fixed point 0 is called an IS-capture if it has Siegel disk D around and contains eventual image of critical point. We show that any on the boundary unique bounded hyperbolic component parameter space determined by rational lamination map relate polynomials to principal domain its closure.

in this paper, we consider admissible estimation of the parameter ?r in the gamma distribution with truncated parameter space under entropy loss function. we obtain the classes of admissible estimators. the result can be applied to estimation of parameters in the normal, lognormal, pareto, generalized gamma, generalized laplace and other distributions.

We examine the case of a coupled two-cell Sherman network with electrical and inhibitory coupling. A region of stable synchrony exists when both inhibitory coupling and electrical coupling are nonzero but very weak; notably, this region is bounded on all sides by instability. We present an explanation for this curious effects as well as a detailed numerical stability analysis of phase-locking i...

We show that for gaugino mediated supersymmetry breaking the gravitino mass is bounded from below. For a size of the compact dimensions of order the unification scale and a cutoff given by the higher-dimensional Planck mass, we find m3/2 & 10GeV. In a large domain of parameter space, the gravitino is the lightest superparticle with a scalar τ̃ -lepton as the next-to-lightest superparticle. Email...

Proof of Corollary 3.2. The total depth of the given network is LK. Thus, the parameter size is O ( LKD ) . Also, according to Corollary 5 of [6], the maximal number of linear region of functions that can be computed by the given network in an n-dimensional (D > n) input space is lower bounded by O ( (Dn ) n(KL−1)Dn ) , which can be simplified by a looser bound O ( (Dn ) nKL ) and resulting in ...

a method has been presented for finding the solution surface of the npde: u  c , bounded by a general space curve. the method is based on the geometric characteristics of the surface, and is called the “cone-slot method”. it has been shown that such a surface can be obtained by movement of a cone inside the slot formed by the boundary space curve. an algorithm has been suggested on the basis ...

We consider second-order elliptic equations with oblique derivative boundary conditions, defined on a family of bounded domains in C that depend smoothly real parameter λ∈[0,1]. derive sharp regularity properties the solutions all variables, including λ. More specifically we show solution and its derivatives are continuous Hölder norms space variables uniformly