Interpolating hereditarily indecomposable Banach spaces

1997/12/19 by Spiros A. Argyros, Argyros, Spiros A., V. Felouzis +1 · 2 citations
Mathematics · #46B30 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.math/9712277

openalex publication_date 1997/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that every Banach space either contains ℓ ¹ or it has an infinite dimensional closed subspace which is a quotient of a H.I. Banach space.Further on, L^p(λ), 1

Cited by

• Unconditional structures of weakly null sequences
• On the complemented subspaces of the Schreier spaces

Related

• On Subspaces of Indecomposable Banach Spaces
• A Banach space dichotomy for quotients of subspaces
• Examples of infinite dimensional Banach spaces without infinite equilateral sets
• Operators on subspaces of hereditarily indecomposable Banach spaces
• A uniformly convex hereditarily indecomposable Banach space