A hereditarily indecomposable L∞-space that solves the scalar-plus-compact problem

被引：135
作者：
Argyros, Spiros A. [1 ]
Haydon, Richard G. [2 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, GR-15780 Athens, Greece
[2] Univ Oxford Brasenose Coll, Oxford OX1 4AJ, England
来源：
ACTA MATHEMATICA | 2011年 / 206卷 / 01期
关键词：
INVARIANT SUBSPACE PROBLEM; BOURGAIN-DELBAEN SPACE; BANACH-SPACES; NONCOMPACT OPERATORS;
D O I：
10.1007/s11511-011-0058-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a hereditarily indecomposable Banach space with dual space isomorphic to ℓ1. Every bounded linear operator on this space is expressible as λI + K, with λ a scalar and K compact. © 2011 Institut Mittag-Leffler.
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页码：1 / 54
页数：54
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