We study the notion of a strongly normal sequence in the dual E∗ of a Banach space E. In particular, we prove that the following three conditions are equivalent: (1) E∗ has a strongly normal sequence, (2) (E∗, σ(E∗, E)) has a Schauder basic sequence, (3) E has an infinite-dimensional separable quotient.

Problem 1[C&B] 5.39 b. Using the normal approximation, we have µ v = r(1 − p)/p = 20(.3)/.7 = 8.57 and σ v = ï¿¿ r(1 − p)/p 2 = ï¿¿ (20)(.3)/.49 = 3.5.

OBJECTIVES The aim of this study was to compare the fracture load of veneered anterior zirconia crowns using normal and Weibull distribution of complete and censored data. METHODS Standardized zirconia frameworks for maxillary canines were milled using a CAD/CAM system and randomly divided into 3 groups (N=90, n=30 per group). They were veneered with three veneering ceramics, namely GC Initia...

Let $A$ be a Noetherian ring, $I$ be an ideal of $A$ and $sigma$ be a semi-prime operation, different from the identity map on the set of all ideals of $A$. Results of Essan proved that the sets of associated prime ideals of $sigma(I^n)$, which denoted by $Ass(A/sigma(I^n))$, stabilize to $A_{sigma}(I)$. We give some properties of the sets $S^{sigma}_{n}(I)=Ass(A/sigma(I^n))setminus A_{sigma}(I...

We prove a result on certain finite index subgroups of rank one lattices which is motivated by cusp closing constructions. Let X always denote a rank one symmetric space of non-compact type, i.e., X is the hyperbolic space KH, n ≥ 2, where K is either R,C,H or O and n = 2 in the latter case. By Σ we always denote a lattice in the isometry group Iso(X), that is, a discrete subgroup of the isomet...

Abstract After examining Feynman diagrams corresponding to the D¯(*</m...