S. Argyros

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math.FA2026

Embedding $ℓ_{2}$ and $J$ into subspaces of $J T$ and $J T^{*}$

Spiros A. Argyros, Manuel Gonzalez, Pavlos Motakis

In the first part of the paper we show that every closed subspace of $J T$ or $J T^{*}$ contains $ℓ_{2}$ complemented in $J T$ or $J T^{*}$ respectively, and $J T$ contains uncomplemented…

math.FA2026

A Study of the Extreme Points in the Unit Ball of $J T$

Spiros A. Argyros

In this note, we investigate the extreme points of the unit ball of the James Tree space ( $J T$ ). We relate the geometric structure of $J T$ to the classical James space $J$ and prov…

math.FA2025

The Extreme Points of the Unit Ball of the James space $J$ and its dual spaces

Spiros A. Argyros, Manuel GonzÃ¡lez

We provide a new proof of S. Bellenot's characterization of the extreme points of the unit ball $B_{J}$ of James quasi-reflexive space $J$ . We also provide an explicit description of…

math.FA2024

The HI extension of the standard HI spaces

Spiros A. Argyros, Antonis Manoussakis, Pavlos Motakis

A Hereditarily Indecomposable (HI) Banach space $X$ admits an HI extension if there exists an HI space $Z$ such that $X$ is isomorphic to a subspace $Y$ of $Z$ and $Z / Y$ is of infi…

Embedding ℓ2​ and J into subspaces of JT and JT∗

A Study of the Extreme Points in the Unit Ball of JT

The Extreme Points of the Unit Ball of the James space J and its dual spaces

The HI extension of the standard HI spaces

Embedding $ℓ_{2}$ and $J$ into subspaces of $J T$ and $J T^{*}$

A Study of the Extreme Points in the Unit Ball of $J T$

The Extreme Points of the Unit Ball of the James space $J$ and its dual spaces