Vector-Valued Banach Limits and Vector-Valued Almost Convergence

2018/01/18 by Francisco Javier García‐Pacheco, Garcia-Pacheco, Francisco Javier, Francisco Javier Fernández +1
Mathematics · #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1801.06235

openalex publication_date 2018/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This book pretends to compile the latest advances on vector-valued Banach limits as well as their applications to vector-valued almost convergence.

Related

• Simplified and Equivalent Characterizations of Banach Limit Functional and Strong Almost Convergence
• On distribution and almost convergence of bounded sequences
• A note on the convergence of almost minimal sets
• Almost uniform vs. pointwise convergence from a linear point of view
• Banach limits -- Some new thoughts and perspectives