Let A be a C*-algebra with identity and supposeA has real rank 0. Suppose a complex-valued function is holomorphic and bounded on the intersection of the open unit ball of A and the identity component of the set of invertible elements of A. We show that then the function has a holomorphic extension to the entire open unit ball of A. Further, we show that this does not hold when A = C(S), where ...

Let γ(E) be the analytic capacity of a compact set E and let γ+(E) be the capacity of E originated by Cauchy transforms of positive measures. In this paper we prove that γ(E) ≈ γ+(E) with estimates independent of E. As a corollary, we characterize removable singularities for bounded analytic functions in terms of curvature of measures, and we deduce that γ is semiadditive.

Let γ(E) be the analytic capacity of a compact set E and let γ+(E) be the capacity of E originated by Cauchy transforms of positive measures. In this paper we prove that γ(E) ≈ γ+(E) with estimates independent of E. As a corollary, we characterize removable singularities for bounded analytic functions in terms of curvature of measures, and we deduce that γ is semiadditive.

A dynamic smile is desirable at all age groups and orthodontists are smile architects. To construct a beautiful smile the various macro esthetic and micro esthetic factors must be kept in mind. Frontal esthetics is very crucial and poor frontal esthetics can be very bothering for the patient. In this article we are presenting a case report on how a simple removable appliance addressed the chief...

For a k-connected graph or matroid M , where k is a fixed positive integer, we say that a subset X of E(M) is k-removable provided M\X is k-connected. In this paper, we obtain a sharp condition on the size of a 3connected binary matroid to have a 3-removable circuit.

This article reviews the literature on planning the support of bounded saddles of removable partial dentures or fixed bridges. Three-dimensional photoelastic analysis was used to examine stresses on removable partial dentures of different designs, and possible model structure changes raised for further investigation.

the aim of this study was to compare the ability of 46 isolates of candida albicans to produce mycelial form with oral source in three groups of individuals including, removable appliance wearers, non-wearers and oral medicine patients. saliva samples were obtained from all subjects along with a foam imprint from the fitting surface of the upper removable appliance in the case of patients. colo...