On certain Opial-type results in Cesàro spaces of vector-valued functions

2015/09/27 by Jan-David Hardtke, Hardtke, Jan-David
Computer Science · Mathematics · #46E40 46E30 46B20 #Advanced Banach Space Theory #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA #msc:46B20 #msc:46E30 #msc:46E40

paper · pdf · doi:10.48550/arxiv.1509.08097

15 pages, partial text overlap with arXiv:1403.2647

arxiv created 2015/09/27 · openalex publication_date 2015/09/27 · arxiv updated 2015/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a Banach space X, we consider Cesàro spaces Ces_p(X) of X-valued functions over the interval [0,1], where 1≤ p<∞. We prove that if X has the Opial/uniform Opial property, then certain analogous properties also hold for Ces_p(X). We also prove a result on the Opial/uniform Opial property of Cesàro spaces of vector-valued sequences.

Citations

• WORTH property, García-Falset coefficient and Opial property of infinite sums

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