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On the three-space property for subprojective and superprojective Banach\n spaces

2024/12/13 by Manuel González, González, Manuel, Javier Pello +1
Mathematics · Computer Science · #Advanced Banach Space Theory #Fixed Point Theorems Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2412.10263

Abstract

We introduce the notion of subprojective and superprojective operators and we\nuse them to prove a variation of the three-space property for subprojective and\nsuperprojective spaces. As an application, we show that some spaces considered\nby Johnson and Lindenstrauss are both subprojective and superprojective.\n

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