Rao, T. S. S. R. K. Points of weak*-norm continuity in the dual unit ball of injective tensor product spaces. (English) Zbl 1008.46007 Collect. Math. 50, No. 3, 269-275 (1999). The author continues his investigation of points in the dual unit ball \(B(Z^*)\) of a Banach space \(Z\) where the identity map of \(B(Z^*)\) is weak\(^*\)-norm continuous. In the case of spaces of continuous functions \(Z=C(K,X)\) where \(K\) is compact, a description has been given by Z.-B. Hu and M. A. Smith [Lect. Notes Pure Appl. Math. 172, 205-222 (1995; Zbl 0844.46018)]. In the more general case where \(Z=Y\otimes_\varepsilon X\) and \(Y\) is a \(G\)-space, the author contributes an extended version for the construction of points of weak\(^*\)-norm continuity (leaving open if this gives all such points). There are also results on strongly extreme points of \(B((Y\otimes_\varepsilon X)^*)\). Reviewer: V.Losert (Wien) Cited in 1 Document MSC: 46B28 Spaces of operators; tensor products; approximation properties 46B20 Geometry and structure of normed linear spaces 46M05 Tensor products in functional analysis 46E15 Banach spaces of continuous, differentiable or analytic functions Keywords:weak\(^*\)-norm continuity; injective tensor product; \(G\)-spaces; strongly extreme points Citations:Zbl 0844.46018 PDFBibTeX XMLCite \textit{T. S. S. R. K. Rao}, Collect. Math. 50, No. 3, 269--275 (1999; Zbl 1008.46007) Full Text: EuDML