1993/06/21 by Denny H. Leung, Leung, Denny H.
Computer Science · Mathematics · #46B #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.math/9306210
openalex publication_date 1993/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A Banach space is c0-saturated if all of its closed infinite dimensional subspaces contain an isomorph of c0. In this article, we study the stability of this property under the formation of direct sums and tensor products. Some of the results are: (1) a slightly more general version of the fact that c0-sums of c0-saturated spaces are c0-saturated; (2) C(K,E) is c0-saturated if both C(K) and E are; (3) the tensor product JH⊗εJH is c0-saturated, where JH is the James Hagler space.